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10135531032 = 2331143892841
BaseRepresentation
bin10010111000001111…
…11110111000011000
3222011100210022202020
421130013332320120
5131224143443112
64353423334440
7506111410104
oct113407767030
928140708666
1010135531032
114331274530
121b6a451420
13c56ac1653
146c2162904
153e4c3048c
hex25c1fee18

10135531032 has 64 divisors (see below), whose sum is σ = 28285234560. Its totient is φ = 2999942400.

The previous prime is 10135531031. The next prime is 10135531033. The reversal of 10135531032 is 23013553101.

It is an interprime number because it is at equal distance from previous prime (10135531031) and next prime (10135531033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10135530993 and 10135531011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135531031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435069 + ... + 457772.

It is an arithmetic number, because the mean of its divisors is an integer number (441956790).

Almost surely, 210135531032 is an apocalyptic number.

10135531032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10135531032 is an abundant number, since it is smaller than the sum of its proper divisors (18149703528).

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

10135531032 is a wasteful number, since it uses less digits than its factorization.

10135531032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892904 (or 892900 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 10135531032 in words is "ten billion, one hundred thirty-five million, five hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 892841 1785682 2678523 3571364 5357046 7142728 9821251 10714092 19642502 21428184 29463753 38392163 39285004 58927506 76784326 78570008 115176489 117855012 153568652 230352978 235710024 307137304 422313793 460705956 844627586 921411912 1266941379 1689255172 2533882758 3378510344 5067765516 10135531032