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102320112431 = 17291071939681
BaseRepresentation
bin101111101001011000…
…0010000001100101111
3100210002212100021011202
41133102300100030233
53134022422044211
6115001043040115
710251405414455
oct1372260201457
9323085307152
10102320112431
113a437043999
12179b697003b
1398583a7234
144d492469d5
1529dcc8053b
hex17d2c1032f

102320112431 has 16 divisors (see below), whose sum is σ = 113122254240. Its totient is φ = 92111523840.

The previous prime is 102320112409. The next prime is 102320112469. The reversal of 102320112431 is 134211023201.

It is a cyclic number.

It is not a de Polignac number, because 102320112431 - 222 = 102315918127 is a prime.

It is a super-4 number, since 4×1023201124314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320112931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917090 + ... + 1022591.

It is an arithmetic number, because the mean of its divisors is an integer number (7070140890).

Almost surely, 2102320112431 is an apocalyptic number.

102320112431 is a deficient number, since it is larger than the sum of its proper divisors (10802141809).

102320112431 is a wasteful number, since it uses less digits than its factorization.

102320112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939834.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102320112431 its reverse (134211023201), we get a palindrome (236531135632).

The spelling of 102320112431 in words is "one hundred two billion, three hundred twenty million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 17 29 107 493 1819 3103 52751 1939681 32974577 56250749 207545867 956262733 3528279739 6018830143 102320112431