Search a number
-
+
102210964100136 = 2333543187129241
BaseRepresentation
bin10111001111010111011000…
…001101010001010000101000
3111101220021100211100001122000
4113033113120031101100220
5101344111023302201021
61001215022500331000
730346332654666663
oct2717273015212050
9441807324301560
10102210964100136
112a627476666941
12b5692050a3a60
1345055b63645a8
141b3507398a6da
15bc3b1d56db26
hex5cf5d8351428

102210964100136 has 64 divisors (see below), whose sum is σ = 283971625526400. Its totient is φ = 34064047670400.

The previous prime is 102210964100111. The next prime is 102210964100191. The reversal of 102210964100136 is 631001469012201.

It is a happy number.

102210964100136 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 0 + 9 + 641 + 0 + 0 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102210964100136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42391525 + ... + 44737716.

It is an arithmetic number, because the mean of its divisors is an integer number (4437056648850).

Almost surely, 2102210964100136 is an apocalyptic number.

It is an amenable number.

102210964100136 is an abundant number, since it is smaller than the sum of its proper divisors (181760661426264).

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

102210964100136 is a wasteful number, since it uses less digits than its factorization.

102210964100136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87134687 (or 87134677 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 102210964100136 in words is "one hundred two trillion, two hundred ten billion, nine hundred sixty-four million, one hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 5431 10862 16293 21724 32586 43448 48879 65172 97758 130344 146637 195516 293274 391032 586548 1173096 87129241 174258482 261387723 348516964 522775446 697033928 784163169 1045550892 1568326338 2091101784 2352489507 3136652676 4704979014 6273305352 9409958028 18819916056 473198907871 946397815742 1419596723613 1892795631484 2839193447226 3785591262968 4258790170839 5678386894452 8517580341678 11356773788904 12776370512517 17035160683356 25552741025034 34070321366712 51105482050068 102210964100136