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102342020031 = 3259496738803
BaseRepresentation
bin101111101010000001…
…1110100101110111111
3100210011101120021202100
41133110003310232333
53134044024120111
6115003144400143
710252062550146
oct1372403645677
9323141507670
10102342020031
113a448447449
1217a02176053
13985caa7a04
144d4c10a75d
1529deb5b756
hex17d40f4bbf

102342020031 has 24 divisors (see below), whose sum is σ = 150367052160. Its totient is φ = 67056374736.

The previous prime is 102342020029. The next prime is 102342020047. The reversal of 102342020031 is 130020243201.

102342020031 is a `hidden beast` number, since 10 + 2 + 3 + 420 + 200 + 31 = 666.

It is not a de Polignac number, because 102342020031 - 21 = 102342020029 is a prime.

It is a super-2 number, since 2×1023420200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102342019986 and 102342020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102342020051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2618076 + ... + 2656878.

It is an arithmetic number, because the mean of its divisors is an integer number (6265293840).

Almost surely, 2102342020031 is an apocalyptic number.

102342020031 is a deficient number, since it is larger than the sum of its proper divisors (48025032129).

102342020031 is a wasteful number, since it uses less digits than its factorization.

102342020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43835 (or 43832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102342020031 its reverse (130020243201), we get a palindrome (232362263232).

The spelling of 102342020031 in words is "one hundred two billion, three hundred forty-two million, twenty thousand, thirty-one".

Divisors: 1 3 9 59 177 531 4967 14901 38803 44703 116409 293053 349227 879159 2289377 2637477 6868131 20604393 192734501 578203503 1734610509 11371335559 34114006677 102342020031