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23013133131032 = 2311261512876489
BaseRepresentation
bin1010011101110001010011…
…01000000001110100011000
310000111000220211000222000022
411032320221220001310120
511004021344040143112
6120540030514130012
74563433615034522
oct516705150016430
9100430824028008
1023013133131032
1173728a6779510
1226b8123880908
13cac18a959295
14597bad456a12
1529d957577d72
hex14ee29a01d18

23013133131032 has 16 divisors (see below), whose sum is σ = 47072317768200. Its totient is φ = 10460515059520.

The previous prime is 23013133131011. The next prime is 23013133131059.

23013133131032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23013133130992 and 23013133131010.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 130756438157 + ... + 130756438332.

Almost surely, 223013133131032 is an apocalyptic number.

23013133131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23013133131032 is an abundant number, since it is smaller than the sum of its proper divisors (24059184637168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23013133131032 is a wasteful number, since it uses less digits than its factorization.

23013133131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261512876506 (or 261512876502 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 2301313 and 3131032, that added together give a palindrome (5432345).

The spelling of 23013133131032 in words is "twenty-three trillion, thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 261512876489 523025752978 1046051505956 2092103011912 2876641641379 5753283282758 11506566565516 23013133131032