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10123013131 = 7111131163431
BaseRepresentation
bin10010110110110000…
…01110110000001011
3222010111020100102021
421123120032300023
5131212442410011
64352255145311
7505600122550
oct113330166013
928114210367
1010123013131
1143251a4660
121b66215237
13c5432a9ca
146c0624a27
153e3aab471
hex25b60ec0b

10123013131 has 16 divisors (see below), whose sum is σ = 12732599808. Its totient is φ = 7818249600.

The previous prime is 10123013101. The next prime is 10123013167. The reversal of 10123013131 is 13131032101.

It is not a de Polignac number, because 10123013131 - 29 = 10123012619 is a prime.

It is a super-2 number, since 2×101230131312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123013101) 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, 573015 + ... + 590416.

It is an arithmetic number, because the mean of its divisors is an integer number (795787488).

Almost surely, 210123013131 is an apocalyptic number.

10123013131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10123013131 is a deficient number, since it is larger than the sum of its proper divisors (2609586677).

10123013131 is a wasteful number, since it uses less digits than its factorization.

10123013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163562.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10123013131 its reverse (13131032101), we get a palindrome (23254045232).

The spelling of 10123013131 in words is "ten billion, one hundred twenty-three million, thirteen thousand, one hundred thirty-one".

Divisors: 1 7 11 77 113 791 1243 8701 1163431 8144017 12797741 89584187 131467703 920273921 1446144733 10123013131