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103101122100132 = 223213634334731443
BaseRepresentation
bin10111011100010100011001…
…110000100011101110100100
3111112001101000110122201222200
4113130110121300203232210
5102003202044224201012
61003140000203454500
730500544630104652
oct2734243160435644
9445041013581880
10103101122100132
112a93aa38648432
12b691831227430
13456b517aa3550
141b66199bbbdd2
15bdbd6b9ec3dc
hex5dc519c23ba4

103101122100132 has 72 divisors (see below), whose sum is σ = 280708421657664. Its totient is φ = 31718419943616.

The previous prime is 103101122100127. The next prime is 103101122100133. The reversal of 103101122100132 is 231001221101301.

103101122100132 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 1 + 221 + 0 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103101122100133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14397198 + ... + 20334245.

Almost surely, 2103101122100132 is an apocalyptic number.

103101122100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103101122100132 is an abundant number, since it is smaller than the sum of its proper divisors (177607299557532).

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

103101122100132 is a wasteful number, since it uses less digits than its factorization.

103101122100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34737809 (or 34737804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103101122100132 its reverse (231001221101301), we get a palindrome (334102343201433).

The spelling of 103101122100132 in words is "one hundred three trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6343 12686 19029 25372 38058 57087 76116 82459 114174 164918 228348 247377 329836 494754 742131 989508 1484262 2968524 34731443 69462886 104194329 138925772 208388658 312582987 416777316 451508759 625165974 903017518 1250331948 1354526277 1806035036 2709052554 4063578831 5418105108 8127157662 16254315324 220301542949 440603085898 660904628847 881206171796 1321809257694 1982713886541 2643618515388 2863920058337 3965427773082 5727840116674 7930855546164 8591760175011 11455680233348 17183520350022 25775280525033 34367040700044 51550561050066 103101122100132