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102627380097 = 32118312489641
BaseRepresentation
bin101111110010100010…
…0011000101110000001
3100210220021112002011200
41133211010120232001
53140140102130342
6115051340531413
710262126223534
oct1374504305601
9323807462150
10102627380097
113a584531710
1217a81850b69
1398a6c4b018
144d77d8ca1b
152a09c2794c
hex17e5118b81

102627380097 has 24 divisors (see below), whose sum is σ = 163664268768. Its totient is φ = 61449028800.

The previous prime is 102627380081. The next prime is 102627380099. The reversal of 102627380097 is 790083726201.

102627380097 is a `hidden beast` number, since 1 + 0 + 262 + 7 + 380 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 102627380097 - 24 = 102627380081 is a prime.

It is a super-2 number, since 2×1026273800972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102627380099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6236604 + ... + 6253037.

It is an arithmetic number, because the mean of its divisors is an integer number (6819344532).

Almost surely, 2102627380097 is an apocalyptic number.

It is an amenable number.

102627380097 is a deficient number, since it is larger than the sum of its proper divisors (61036888671).

102627380097 is a wasteful number, since it uses less digits than its factorization.

102627380097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489741 (or 12489738 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 102627380097 in words is "one hundred two billion, six hundred twenty-seven million, three hundred eighty thousand, ninety-seven".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 12489641 37468923 112406769 137386051 412158153 1036640203 1236474459 3109920609 9329761827 11403042233 34209126699 102627380097