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102871197216 = 2532457781601
BaseRepresentation
bin101111111001110011…
…0011110011000100000
3100211112021022021101100
41133303212132120200
53141140011302331
6115131450434400
710301146514604
oct1376346363040
9324467267340
10102871197216
113a69a122067
1217b2b432a00
1399156073c8
144d9c4d9504
152a21339ae6
hex17f399e620

102871197216 has 72 divisors (see below), whose sum is σ = 293180473404. Its totient is φ = 34215321600.

The previous prime is 102871197173. The next prime is 102871197217. The reversal of 102871197216 is 612791178201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102786924816 + 84272400 = 320604^2 + 9180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (102871197217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259185 + ... + 522416.

Almost surely, 2102871197216 is an apocalyptic number.

102871197216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102871197216 is an abundant number, since it is smaller than the sum of its proper divisors (190309276188).

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

102871197216 is a wasteful number, since it uses less digits than its factorization.

102871197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782074 (or 782063 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 102871197216 in words is "one hundred two billion, eight hundred seventy-one million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 457 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 14624 16452 21936 32904 43872 65808 131616 781601 1563202 2344803 3126404 4689606 6252808 7034409 9379212 12505616 14068818 18758424 25011232 28137636 37516848 56275272 75033696 112550544 225101088 357191657 714383314 1071574971 1428766628 2143149942 2857533256 3214724913 4286299884 5715066512 6429449826 8572599768 11430133024 12858899652 17145199536 25717799304 34290399072 51435598608 102871197216