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102314234131 = 2912391284729
BaseRepresentation
bin101111101001001100…
…1110101000100010011
3100210002110021121122221
41133102121311010103
53134014420443011
6115000313041511
710251304432534
oct1372231650423
9323073247587
10102314234131
113a43379949a
12179b49b6297
1398570c9755
144d4855668b
1529dc4bd971
hex17d2675113

102314234131 has 8 divisors (see below), whose sum is σ = 105851224800. Its totient is φ = 98777837760.

The previous prime is 102314234117. The next prime is 102314234179. The reversal of 102314234131 is 131432413201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102314234131 is a prime.

It is a super-2 number, since 2×1023142341312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102314234096 and 102314234105.

It is not an unprimeable number, because it can be changed into a prime (102314234731) 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, 216975 + ... + 501703.

It is an arithmetic number, because the mean of its divisors is an integer number (13231403100).

Almost surely, 2102314234131 is an apocalyptic number.

102314234131 is a deficient number, since it is larger than the sum of its proper divisors (3536990669).

102314234131 is a wasteful number, since it uses less digits than its factorization.

102314234131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297149.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102314234131 its reverse (131432413201), we get a palindrome (233746647332).

The spelling of 102314234131 in words is "one hundred two billion, three hundred fourteen million, two hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 29 12391 284729 359339 8257141 3528077039 102314234131