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100111100222012 = 221141956372713267
BaseRepresentation
bin10110110000110011101110…
…100100010001101000111100
3111010110112020200222120112012
4112300303232210101220330
5101110210013124101022
6552530223214030352
730041534250352115
oct2660635644215074
9433415220876465
10100111100222012
1129997974203380
12b28a250aa83b8
1343b2589570899
141aa159019120c
15b891bd293de2
hex5b0cee911a3c

100111100222012 has 96 divisors (see below), whose sum is σ = 192196078663680. Its totient is φ = 45250064925120.

The previous prime is 100111100222009. The next prime is 100111100222041. The reversal of 100111100222012 is 210222001111001.

It is a super-2 number, since 2×1001111002220122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7545866603 + ... + 7545879869.

It is an arithmetic number, because the mean of its divisors is an integer number (2002042486080).

Almost surely, 2100111100222012 is an apocalyptic number.

It is an amenable number.

100111100222012 is a deficient number, since it is larger than the sum of its proper divisors (92084978441668).

100111100222012 is a wasteful number, since it uses less digits than its factorization.

100111100222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14991 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111100222012 its reverse (210222001111001), we get a palindrome (310333101333013).

The spelling of 100111100222012 in words is "one hundred trillion, one hundred eleven billion, one hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 22 44 419 563 727 838 1126 1454 1676 2252 2908 4609 6193 7997 9218 12386 13267 15994 18436 24772 26534 31988 53068 145937 235897 291874 304613 409301 471794 583748 609226 818602 943588 1218452 1637204 2594867 3350743 4502311 5189734 5558873 6701486 7469321 9004622 9645109 10379468 11117746 13402972 14938642 18009244 19290218 22235492 29877284 38580436 61147603 82162531 106096199 122295206 164325062 171497119 212192398 244590412 328650124 342994238 424384796 685988476 1886468309 3129645499 3772936618 4041300671 5430196367 6259290998 7545873236 8082601342 10860392734 12518581996 16165202684 21720785468 34426100489 44454307381 59732160037 68852200978 88908614762 119464320074 137704401956 177817229524 238928640148 2275252277773 4550504555546 9101009111092 25027775055503 50055550111006 100111100222012