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113202312102 = 23311712939161
BaseRepresentation
bin110100101101101100…
…0100011001110100110
3101211012021010021202000
41221123120203032212
53323314242441402
6124000542230130
711115154530225
oct1513330431646
9354167107660
10113202312102
1144010832640
1219b33285346
13a8a0a97c39
14569c610cbc
152e28300c1c
hex1a5b6233a6

113202312102 has 128 divisors (see below), whose sum is σ = 279275351040. Its totient is φ = 33701472000.

The previous prime is 113202312073. The next prime is 113202312103. The reversal of 113202312102 is 201213202311.

113202312102 is a `hidden beast` number, since 11 + 320 + 231 + 2 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113202312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12352402 + ... + 12361562.

It is an arithmetic number, because the mean of its divisors is an integer number (2181838680).

Almost surely, 2113202312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113202312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139637675520).

113202312102 is an abundant number, since it is smaller than the sum of its proper divisors (166073038938).

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

113202312102 is a wasteful number, since it uses less digits than its factorization.

113202312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113202312102 its reverse (201213202311), we get a palindrome (314415514413).

The spelling of 113202312102 in words is "one hundred thirteen billion, two hundred two million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 293 297 426 586 594 639 781 879 1278 1562 1758 1917 2343 2637 3223 3834 4686 5274 6446 7029 7911 9161 9669 14058 15822 18322 19338 20803 21087 27483 29007 41606 42174 54966 58014 62409 82449 87021 100771 124818 164898 174042 187227 201542 228833 247347 302313 374454 457666 494694 561681 604626 650431 686499 906939 1123362 1300862 1372998 1813878 1951293 2059497 2684173 2720817 3902586 4118994 5368346 5441634 5853879 6178491 7154741 8052519 11707758 12356982 14309482 16105038 17561637 21464223 24157557 29525903 35123274 42928446 48315114 59051806 64392669 72472671 88577709 128785338 144945342 177155418 190576283 193178007 265733127 381152566 386356014 531466254 571728849 797199381 1143457698 1594398762 1715186547 2096339113 3430373094 4192678226 5145559641 6289017339 10291119282 12578034678 18867052017 37734104034 56601156051 113202312102