101013120
101,013,120 is an even composite number composed of six prime numbers multiplied together.
101013120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 101013120:
27 × 32 × 5 × 13 × 19 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 19 × 71)See below for interesting mathematical facts about the number 101013120 from the Numbermatics database.
Names of 101013120
- Cardinal: 101013120 can be written as One hundred one million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0101312 × 108
Factors of 101013120
Divisors of 101013120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 57 60 64 65 71 72 76 78 80 90 95 96 104 114 117 120 128 130 142 144 152 156 160 171 180 190 192 195 208 213 228 234 240 247 260 284 285 288 304 312 320 342 355 360 380 384 390 416 426 456 468 480 494 520 568 570 576 585 608 624 639 640 684 710 720 741 760 780 832 852 855 912 923 936 960 988 1040 1065 1136 1140 1152 1170 1216 1235 1248 1278 1349 1368 1420 1440 1482 1520 1560 1664 1704 1710 1824 1846 1872 1920 1976 2080 2130 2223 2272 2280 2340 2432 2470 2496 2556 2698 2736 2769 2840 2880 2964 3040 3120 3195 3408 3420 3648 3692 3705 3744 3952 4047 4160 4260 4446 4544 4560 4615 4680 4940 4992 5112 5396 5472 5538 5680 5760 5928 6080 6240 6390 6745 6816 6840 7296 7384 7410 7488 7904 8094 8307 8320 8520 8892 9088 9120 9230 9360 9880 10224 10792 10944 11076 11115 11360 11856 12141 12160 12480 12780 13490 13632 13680 13845 14768 14820 14976 15808 16188 16614 17040 17537 17784 18240 18460 18720 19760 20235 20448 21584 21888 22152 22230 22720 23712 24282 24960 25560 26980 27264 27360 27690 29536 29640 31616 32376 33228 34080 35074 35568 36480 36920 37440 39520 40470 40896 41535 43168 44304 44460 45440 47424 48564 51120 52611 53960 54720 55380 59072 59280 60705 64752 66456 68160 70148 71136 73840 74880 79040 80940 81792 83070 86336 87685 88608 88920 94848 97128 102240 105222 107920 109440 110760 118144 118560 121410 129504 132912 136320 140296 142272 147680 157833 158080 161880 166140 172672 175370 177216 177840 194256 204480 210444 215840 221520 237120 242820 259008 263055 265824 280592 284544 295360 315666 323760 332280 350740 354432 355680 388512 408960 420888 431680 443040 474240 485640 518016 526110 531648 561184 590720 631332 647520 664560 701480 711360 777024 789165 841776 863360 886080 971280 1052220 1063296 1122368 1262664 1295040 1329120 1402960 1422720 1554048 1578330 1683552 1772160 1942560 2104440 2244736 2525328 2590080 2658240 2805920 3156660 3367104 3885120 4208880 5050656 5316480 5611840 6313320 6734208 7770240 8417760 10101312 11223680 12626640 16835520 20202624 25253280 33671040 50506560 101013120
- Sum of all divisors σ(n): 400982400
- Sum of proper divisors (its aliquot sum) s(n): 299969280
- 101013120 is an abundant number, because the sum of its proper divisors (299969280) is greater than itself. Its abundance is 198956160
Bases of 101013120
- Binary: 1100000010101010110100000002
- Hexadecimal: 0x6055680
- Base-36: 1O5280
Squares and roots of 101013120
- 101013120 squared (1010131202) is 10203650412134400
- 101013120 cubed (1010131203) is 1030702563518981603328000
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The
square root of 101013120 is 10050.5283443211 -
The
cube root of 101013120 is 465.7211149121
Scales and comparisons
How big is 101013120?- 101,013,120 seconds is equal to 3 years, 11 weeks, 3 hours, 12 minutes.
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To count from 1 to 101,013,120 would take you about four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 101013120 cubic inches would be around 38.8 feet tall.
Recreational maths with 101013120
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