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102211012002 = 231131310314799
BaseRepresentation
bin101111100110001000…
…0000100010110100010
3100202211021001101112010
41133030100010112202
53133312004341002
6114542144413350
710245612160431
oct1371420042642
9322737041463
10102211012002
113a3904a7150
1217986317256
13983b8c8478
144d38967118
1529d33ce46c
hex17cc4045a2

102211012002 has 64 divisors (see below), whose sum is σ = 223981977600. Its totient is φ = 30837705600.

The previous prime is 102211011983. The next prime is 102211012009. The reversal of 102211012002 is 200210112201.

It is a super-3 number, since 3×1022110120023 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211012009) 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, 21295999 + ... + 21300797.

It is an arithmetic number, because the mean of its divisors is an integer number (3499718400).

Almost surely, 2102211012002 is an apocalyptic number.

102211012002 is an abundant number, since it is smaller than the sum of its proper divisors (121770965598).

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

102211012002 is a wasteful number, since it uses less digits than its factorization.

102211012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102211012002 its reverse (200210112201), we get a palindrome (302421124203).

The spelling of 102211012002 in words is "one hundred two billion, two hundred eleven million, twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 313 626 939 1031 1878 2062 3093 3443 4799 6186 6886 9598 10329 11341 14397 20658 22682 28794 34023 52789 68046 105578 158367 316734 322703 645406 968109 1502087 1936218 3004174 3549733 4506261 4947769 7099466 9012522 9895538 10649199 14843307 16522957 21298398 29686614 33045914 49568871 54425459 99137742 108850918 163276377 326552754 1548651697 3097303394 4645955091 9291910182 17035168667 34070337334 51105506001 102211012002