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102012100020012 = 223713129772025963
BaseRepresentation
bin10111001100011110001010…
…111111000000011100101100
3111101012021001122111002021010
4113030132022333000130230
5101332331240101120022
61000543413425105220
730326062636131510
oct2714361277003454
9441167048432233
10102012100020012
112a5600a80140a6
12b536765a88210
1344bc913491770
141b295aa6b8140
15bbd87ebc850c
hex5cc78afc072c

102012100020012 has 96 divisors (see below), whose sum is σ = 293183703188992. Its totient is φ = 26883546264576.

The previous prime is 102012100020007. The next prime is 102012100020151. The reversal of 102012100020012 is 210020001210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102012100020012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34596658 + ... + 37429305.

Almost surely, 2102012100020012 is an apocalyptic number.

102012100020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012100020012 is an abundant number, since it is smaller than the sum of its proper divisors (191171603168980).

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

102012100020012 is a wasteful number, since it uses less digits than its factorization.

102012100020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72027287 (or 72027285 counting only the distinct ones).

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

Adding to 102012100020012 its reverse (210020001210201), we get a palindrome (312032101230213).

The spelling of 102012100020012 in words is "one hundred two trillion, twelve billion, one hundred million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1297 2594 3891 5188 7782 9079 15564 16861 18158 27237 33722 36316 50583 54474 67444 101166 108948 118027 202332 236054 354081 472108 708162 1416324 72025963 144051926 216077889 288103852 432155778 504181741 864311556 936337519 1008363482 1512545223 1872675038 2016726964 2809012557 3025090446 3745350076 5618025114 6050180892 6554362633 11236050228 13108725266 19663087899 26217450532 39326175798 78652351596 93417674011 186835348022 280253022033 373670696044 560506044066 653923718077 1121012088132 1214429762143 1307847436154 1961771154231 2428859524286 2615694872308 3643289286429 3923542308462 4857719048572 7286578572858 7847084616924 8501008335001 14573157145716 17002016670002 25503025005003 34004033340004 51006050010006 102012100020012