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100231020331120 = 2457257919757819
BaseRepresentation
bin10110110010100011011010…
…010111001100000001110000
3111010212222210010211022022201
4112302203122113030001300
5101114141112201043440
6553101254534112544
730053311056434350
oct2662433227140160
9433788703738281
10100231020331120
1129a33811a61268
12b2a9539aab754
1343c098b035423
141aa72c8a5cb60
15b8c38b21819a
hex5b28da5cc070

100231020331120 has 160 divisors (see below), whose sum is σ = 267655718937600. Its totient is φ = 34193912168448.

The previous prime is 100231020331097. The next prime is 100231020331133. The reversal of 100231020331120 is 21133020132001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131883571 + ... + 132641389.

It is an arithmetic number, because the mean of its divisors is an integer number (1672848243360).

Almost surely, 2100231020331120 is an apocalyptic number.

100231020331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100231020331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133827859468800).

100231020331120 is an abundant number, since it is smaller than the sum of its proper divisors (167424698606480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100231020331120 is a wasteful number, since it uses less digits than its factorization.

100231020331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759015 (or 759009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100231020331120 its reverse (21133020132001), we get a palindrome (121364040463121).

The spelling of 100231020331120 in words is "one hundred trillion, two hundred thirty-one billion, twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 257 280 514 560 919 1028 1285 1799 1838 2056 2570 3598 3676 4112 4595 5140 6433 7196 7352 8995 9190 10280 12866 14392 14704 17990 18380 20560 25732 28784 32165 35980 36760 51464 64330 71960 73520 102928 128660 143920 236183 257320 472366 514640 757819 944732 1180915 1515638 1653281 1889464 2361830 3031276 3306562 3778928 3789095 4723660 5304733 6062552 6613124 7578190 8266405 9447320 10609466 12125104 13226248 15156380 16532810 18894640 21218932 26452496 26523665 30312760 33065620 42437864 53047330 60625520 66131240 84875728 106094660 132262480 194759483 212189320 389518966 424378640 696435661 779037932 973797415 1363316381 1392871322 1558075864 1947594830 2726632762 2785742644 3116151728 3482178305 3895189660 4875049627 5453265524 5571485288 6816581905 6964356610 7790379320 9750099254 10906531048 11142970576 13633163810 13928713220 15580758640 19500198508 21813062096 24375248135 27266327620 27857426440 39000397016 48750496270 54532655240 55714852880 78000794032 97500992540 109065310480 178983964877 195001985080 357967929754 390003970160 715935859508 894919824385 1252887754139 1431871719016 1789839648770 2505775508278 2863743438032 3579679297540 5011551016556 6264438770695 7159358595080 10023102033112 12528877541390 14318717190160 20046204066224 25057755082780 50115510165560 100231020331120