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12302552513431 = 294100917239
BaseRepresentation
bin1011001100000110100101…
…0001011011101110010111
31121120010001001000020201001
42303001221101123232113
53103031111420412211
642055414204244131
72406554501650105
oct263015121335627
947503031006631
1012302552513431
113a13535192234
121468397b40647
136b31832a606b
14307637b20c75
1516503e72eac1
hexb306945bb97

12302552513431 has 20 divisors (see below), whose sum is σ = 12755296908400. Its totient is φ = 11865865834368.

The previous prime is 12302552513429. The next prime is 12302552513453. The reversal of 12302552513431 is 13431525520321.

It is a happy number.

It is not a de Polignac number, because 12302552513431 - 21 = 12302552513429 is a prime.

It is a super-2 number, since 2×123025525134312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302552510431) 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 19 ways as a sum of consecutive naturals, for example, 713637910 + ... + 713655148.

It is an arithmetic number, because the mean of its divisors is an integer number (637764845420).

Almost surely, 212302552513431 is an apocalyptic number.

12302552513431 is a deficient number, since it is larger than the sum of its proper divisors (452744394969).

12302552513431 is an frugal number, since it uses more digits than its factorization.

12302552513431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 12302552513431 in words is "twelve trillion, three hundred two billion, five hundred fifty-two million, five hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 29 841 1009 17239 24389 29261 499931 707281 848569 14497999 17394151 24608501 420441971 504430379 713646529 12192817159 14628480991 424225948739 12302552513431