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102210129071652 = 22378936313616231
BaseRepresentation
bin10111001111010110100110…
…011011111000111000100100
3111101220012012122002012220010
4113033112212123320320210
5101344102321020243102
61001214403551010220
730346303165242420
oct2717264633707044
9441805178065803
10102210129071652
112a627088280658
12b569011509970
1345054b23689b4
141b34dd4b03b80
15bc3ac00c7d6c
hex5cf5a66f8e24

102210129071652 has 48 divisors (see below), whose sum is σ = 272563414244352. Its totient is φ = 29202565086240.

The previous prime is 102210129071621. The next prime is 102210129071717. The reversal of 102210129071652 is 256170921012201.

102210129071652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022101290716522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102210129071652.

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, 698377 + ... + 14314607.

It is an arithmetic number, because the mean of its divisors is an integer number (5678404463424).

Almost surely, 2102210129071652 is an apocalyptic number.

102210129071652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210129071652 is an abundant number, since it is smaller than the sum of its proper divisors (170353285172700).

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

102210129071652 is a wasteful number, since it uses less digits than its factorization.

102210129071652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705608 (or 13705606 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 102210129071652 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-nine million, seventy-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89363 178726 268089 357452 536178 625541 1072356 1251082 1876623 2502164 3753246 7506492 13616231 27232462 40848693 54464924 81697386 95313617 163394772 190627234 285940851 381254468 571881702 1143763404 1216787250853 2433574501706 3650361752559 4867149003412 7300723505118 8517510755971 14601447010236 17035021511942 25552532267913 34070043023884 51105064535826 102210129071652