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102311302302131 = 1323806294243861
BaseRepresentation
bin10111010000110100110100…
…110101001000100110110011
3111102020212100120100211210112
4113100310310311020212303
5101402232021342132011
61001333055144251535
730356514306434066
oct2720646465104663
9442225316324715
10102311302302131
112a665a8599911a
12b584748170bab
134511bb6c59150
141b39c718c68dd
15bc654231158b
hex5d0d34d489b3

102311302302131 has 16 divisors (see below), whose sum is σ = 114973351268160. Its totient is φ = 90333921237120.

The previous prime is 102311302302047. The next prime is 102311302302149. The reversal of 102311302302131 is 131203203113201.

It is a cyclic number.

It is not a de Polignac number, because 102311302302131 - 210 = 102311302301107 is a prime.

It is a super-2 number, since 2×1023113023021312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102311302302097 and 102311302302106.

It is not an unprimeable number, because it can be changed into a prime (102311302302331) 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 15 ways as a sum of consecutive naturals, for example, 21986141 + ... + 26230001.

It is an arithmetic number, because the mean of its divisors is an integer number (7185834454260).

Almost surely, 2102311302302131 is an apocalyptic number.

102311302302131 is a deficient number, since it is larger than the sum of its proper divisors (12662048966029).

102311302302131 is a wasteful number, since it uses less digits than its factorization.

102311302302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324526.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102311302302131 its reverse (131203203113201), we get a palindrome (233514505415332).

The spelling of 102311302302131 in words is "one hundred two trillion, three hundred eleven billion, three hundred two million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 13 23 299 80629 1048177 1854467 4243861 24108071 55170193 97608803 1268914439 342178268569 4448317491397 7870100177087 102311302302131