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102154256204 = 227111360142451
BaseRepresentation
bin101111100100011011…
…1100011111101001100
3100202200022020220012112
41133020313203331030
53133202442144304
6114532400123152
710244322564560
oct1371067437514
9322608226175
10102154256204
113a361461730
121796b3064b8
13982cc16060
144d311d16a0
1529cd41cb6e
hex17c8de3f4c

102154256204 has 96 divisors (see below), whose sum is σ = 240431826432. Its totient is φ = 36676800000.

The previous prime is 102154256173. The next prime is 102154256207. The reversal of 102154256204 is 402652451201.

It is not an unprimeable number, because it can be changed into a prime (102154256207) 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, 2385179 + ... + 2427629.

It is an arithmetic number, because the mean of its divisors is an integer number (2504498192).

Almost surely, 2102154256204 is an apocalyptic number.

102154256204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102154256204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120215913216).

102154256204 is an abundant number, since it is smaller than the sum of its proper divisors (138277570228).

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

102154256204 is a wasteful number, since it uses less digits than its factorization.

102154256204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43087 (or 43085 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 102154256204 in words is "one hundred two billion, one hundred fifty-four million, two hundred fifty-six thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 601 1001 1202 2002 2404 4004 4207 6611 7813 8414 13222 15626 16828 26444 31252 42451 46277 54691 84902 85943 92554 109382 169804 171886 185108 218764 297157 343772 466961 551863 594314 601601 933922 1103726 1188628 1203202 1867844 2207452 2406404 3268727 3863041 6070493 6537454 7726082 12140986 13074908 15452164 24281972 25513051 42493451 51026102 84986902 102052204 169973804 178591357 280643561 331669663 357182714 561287122 663339326 714365428 1122574244 1326678652 1964504927 2321687641 3648366293 3929009854 4643375282 7296732586 7858019708 9286750564 14593465172 25538564051 51077128102 102154256204