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100311423020010 = 23352692779149697
BaseRepresentation
bin10110110011101110010010…
…101111000110101111101010
3111011011200022112200002122000
4112303232102233012233222
5101122000243243120020
6553202233114511430
730062155401140136
oct2663562257065752
9434150275602560
10100311423020010
1129a649211aa484
12b301038735576
1343c8432710697
141aab15509c3c6
15b8e4e4c2c090
hex5b3b92bc6bea

100311423020010 has 128 divisors (see below), whose sum is σ = 268506605030400. Its totient is φ = 26648776304640.

The previous prime is 100311423019999. The next prime is 100311423020041. The reversal of 100311423020010 is 10020324113001.

100311423020010 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 1 + 423 + 0 + 200 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2018435482 + ... + 2018485178.

It is an arithmetic number, because the mean of its divisors is an integer number (2097707851800).

Almost surely, 2100311423020010 is an apocalyptic number.

100311423020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311423020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134253302515200).

100311423020010 is an abundant number, since it is smaller than the sum of its proper divisors (168195182010390).

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

100311423020010 is a wasteful number, since it uses less digits than its factorization.

100311423020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77773 (or 77767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100311423020010 its reverse (10020324113001), we get a palindrome (110331747133011).

The spelling of 100311423020010 in words is "one hundred trillion, three hundred eleven billion, four hundred twenty-three million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 269 270 538 807 1345 1614 2421 2690 4035 4842 7263 8070 12105 14526 24210 27791 36315 49697 55582 72630 83373 99394 138955 149091 166746 248485 250119 277910 298182 416865 447273 496970 500238 745455 750357 833730 894546 1250595 1341819 1490910 1500714 2236365 2501190 2683638 3751785 4472730 6709095 7475779 7503570 13368493 13418190 14951558 22427337 26736986 37378895 40105479 44854674 66842465 67282011 74757790 80210958 112136685 120316437 133684930 134564022 200527395 201846033 224273370 240632874 336410055 360949311 401054790 403692066 601582185 672820110 721898622 1009230165 1203164370 1381129327 1804746555 2018460330 2762258654 3609493110 4143387981 6905646635 8286775962 12430163943 13811293270 20716939905 24860327886 37290491829 41433879810 62150819715 74580983658 124301639430 186452459145 371523788963 372904918290 743047577926 1114571366889 1857618944815 2229142733778 3343714100667 3715237889630 5572856834445 6687428201334 10031142302001 11145713668890 16718570503335 20062284604002 33437141006670 50155711510005 100311423020010