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105536927031 = 33141211313099
BaseRepresentation
bin110001001001001111…
…1011011010100110111
3101002102001100101020020
41202102133123110313
53212114423131111
6120252154340223
710424206035624
oct1422237332467
9332361311206
10105536927031
1140837931358
121855412a673
139c4b982323
14517256b34b
152b2a3a0906
hex18927db537

105536927031 has 32 divisors (see below), whose sum is σ = 148879718400. Its totient is φ = 66391142400.

The previous prime is 105536927011. The next prime is 105536927053. The reversal of 105536927031 is 130729635501.

It is not a de Polignac number, because 105536927031 - 26 = 105536926967 is a prime.

It is a super-2 number, since 2×1055369270312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536927011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8050320 + ... + 8063418.

It is an arithmetic number, because the mean of its divisors is an integer number (4652491200).

Almost surely, 2105536927031 is an apocalyptic number.

105536927031 is a deficient number, since it is larger than the sum of its proper divisors (43342791369).

105536927031 is a wasteful number, since it uses less digits than its factorization.

105536927031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287.

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 105536927031 in words is "one hundred five billion, five hundred thirty-six million, nine hundred twenty-seven thousand, thirty-one".

Divisors: 1 3 31 41 93 123 1271 2113 3813 6339 13099 39297 65503 86633 196509 259899 406069 537059 1218207 1611177 2685623 8056869 16648829 27678187 49946487 83034561 858023797 1134805667 2574071391 3404417001 35178975677 105536927031