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102113004131 = 1391031371233
BaseRepresentation
bin101111100011001101…
…0001100101001100011
3100202120102122001222222
41133012122030221203
53133111412113011
6114524324021255
710243312133255
oct1370632145143
9322512561888
10102113004131
113a340146406
121795953182b
139824501648
144d29933cd5
1529c99beddb
hex17c668ca63

102113004131 has 8 divisors (see below), whose sum is σ = 102859046640. Its totient is φ = 101367124992.

The previous prime is 102113004127. The next prime is 102113004137. The reversal of 102113004131 is 131400311201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102113004131 - 22 = 102113004127 is a prime.

It is a super-2 number, since 2×1021130041312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102113004137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397891 + ... + 1469123.

It is an arithmetic number, because the mean of its divisors is an integer number (12857380830).

Almost surely, 2102113004131 is an apocalyptic number.

102113004131 is a deficient number, since it is larger than the sum of its proper divisors (746042509).

102113004131 is a wasteful number, since it uses less digits than its factorization.

102113004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81685.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102113004131 its reverse (131400311201), we get a palindrome (233513315332).

The spelling of 102113004131 in words is "one hundred two billion, one hundred thirteen million, four thousand, one hundred thirty-one".

Divisors: 1 139 10313 71233 1433507 9901387 734625929 102113004131