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100011202022112 = 25319103532336921
BaseRepresentation
bin10110101111010110101100…
…001010111000101011100000
3111010002222101121220012202120
4112233112230022320223200
5101102040420204201422
6552412302324544240
730031366550563653
oct2657265412705340
9433088347805676
10100011202022112
1129959570289197
12b272a11252080
1343a6028b850b4
141a9a7d486d89a
15b867c2e6745c
hex5af5ac2b8ae0

100011202022112 has 96 divisors (see below), whose sum is σ = 279029721035520. Its totient is φ = 31275858723840.

The previous prime is 100011202022089. The next prime is 100011202022191. The reversal of 100011202022112 is 211220202110001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100011202022091 and 100011202022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265980589 + ... + 266356332.

It is an arithmetic number, because the mean of its divisors is an integer number (2906559594120).

Almost surely, 2100011202022112 is an apocalyptic number.

100011202022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011202022112 is an abundant number, since it is smaller than the sum of its proper divisors (179018519013408).

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

100011202022112 is a wasteful number, since it uses less digits than its factorization.

100011202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532337056 (or 532337048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100011202022112 its reverse (211220202110001), we get a palindrome (311231404132113).

The spelling of 100011202022112 in words is "one hundred trillion, eleven billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 103 114 152 206 228 304 309 412 456 608 618 824 912 1236 1648 1824 1957 2472 3296 3914 4944 5871 7828 9888 11742 15656 23484 31312 46968 62624 93936 187872 532336921 1064673842 1597010763 2129347684 3194021526 4258695368 6388043052 8517390736 10114401499 12776086104 17034781472 20228802998 25552172208 30343204497 40457605996 51104344416 54830702863 60686408994 80915211992 109661405726 121372817988 161830423984 164492108589 219322811452 242745635976 323660847968 328984217178 438645622904 485491271952 657968434356 877291245808 970982543904 1041783354397 1315936868712 1754582491616 2083566708794 2631873737424 3125350063191 4167133417588 5263747474848 6250700126382 8334266835176 12501400252764 16668533670352 25002800505528 33337067340704 50005601011056 100011202022112