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111414123132 = 22313312743177
BaseRepresentation
bin110011111000011001…
…1001001101001111100
3101122120122022212121220
41213300303021221330
53311134003420012
6123103303153340
711022642264264
oct1476063115174
9348518285556
10111414123132
1143283405814
1219714445850
13a677481b60
14556cd307a4
152d7132c08c
hex19f0cc9a7c

111414123132 has 72 divisors (see below), whose sum is σ = 289286495568. Its totient is φ = 33175376640.

The previous prime is 111414123103. The next prime is 111414123143. The reversal of 111414123132 is 231321414111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221673 + ... + 521504.

It is an arithmetic number, because the mean of its divisors is an integer number (4017867994).

Almost surely, 2111414123132 is an apocalyptic number.

111414123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111414123132 is an abundant number, since it is smaller than the sum of its proper divisors (177872372436).

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

111414123132 is a wasteful number, since it uses less digits than its factorization.

111414123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743259 (or 743226 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 111414123132 its reverse (231321414111), we get a palindrome (342735537243).

The spelling of 111414123132 in words is "one hundred eleven billion, four hundred fourteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 961 1209 1612 1922 2418 2883 3844 4836 5766 11532 12493 24986 37479 49972 74958 149916 743177 1486354 2229531 2972708 4459062 8918124 9661301 19322602 23038487 28983903 38645204 46076974 57967806 69115461 92153948 115935612 138230922 276461844 299500331 599000662 714193097 898500993 1198001324 1428386194 1797001986 2142579291 2856772388 3594003972 4285158582 8570317164 9284510261 18569020522 27853530783 37138041044 55707061566 111414123132