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103162123632132 = 223254110903485819
BaseRepresentation
bin10111011101001101001101…
…101110111011111000000100
3111112021012110202210122100200
4113131031031232323320010
5102010202012122212012
61003224005250210500
730505134410424015
oct2735151556737004
9445235422718320
10103162123632132
112a9638a13a5294
12b6a1616583a30
1345741b9b86006
141b6910569b00c
15bdd73c1353dc
hex5dd34dbbbe04

103162123632132 has 72 divisors (see below), whose sum is σ = 261277439492160. Its totient is φ = 34320593177280.

The previous prime is 103162123632109. The next prime is 103162123632187. The reversal of 103162123632132 is 231236321261301.

103162123632132 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 2 + 1 + 2 + 3 + 632 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 212103919 + ... + 212589737.

It is an arithmetic number, because the mean of its divisors is an integer number (3628853326280).

Almost surely, 2103162123632132 is an apocalyptic number.

103162123632132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103162123632132 is an abundant number, since it is smaller than the sum of its proper divisors (158115315860028).

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

103162123632132 is a wasteful number, since it uses less digits than its factorization.

103162123632132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497273 (or 497268 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 103162123632132 its reverse (231236321261301), we get a palindrome (334398444893433).

The spelling of 103162123632132 in words is "one hundred three trillion, one hundred sixty-two billion, one hundred twenty-three million, six hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 3246 4869 6492 9738 10903 19476 21806 32709 43612 65418 98127 130836 196254 392508 485819 971638 1457457 1943276 2914914 4372371 5829828 5898523 8744742 11797046 17489484 17695569 23594092 35391138 53086707 70782276 106173414 212346828 262828079 525656158 788484237 1051312316 1576968474 2365452711 3153936948 4730905422 5296884557 9461810844 10593769114 15890653671 21187538228 31781307342 47671961013 63562614684 95343922026 190687844052 2865614545337 5731229090674 8596843636011 11462458181348 17193687272022 25790530908033 34387374544044 51581061816066 103162123632132