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31320355302313 = 7211233249391699
BaseRepresentation
bin1110001111100010101101…
…01001101110101110101001
311002220012022102010201002221
413013301112221232232221
513101123041424133223
6150340212251354041
76411551413314400
oct707612651565651
9132805272121087
1031320355302313
119a85985059140
12361a117752921
13146265c702a6c
147a3cb00a8637
15394aaac4eb5d
hex1c7c56a6eba9

31320355302313 has 24 divisors (see below), whose sum is σ = 39916637935200. Its totient is φ = 24300727053120.

The previous prime is 31320355302311. The next prime is 31320355302373.

31320355302313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31320355302313 - 21 = 31320355302311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31320355302311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124570263 + ... + 124821436.

It is an arithmetic number, because the mean of its divisors is an integer number (1663193247300).

Almost surely, 231320355302313 is an apocalyptic number.

It is an amenable number.

31320355302313 is a deficient number, since it is larger than the sum of its proper divisors (8596282632887).

31320355302313 is a wasteful number, since it uses less digits than its factorization.

31320355302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249391957 (or 249391950 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 34.

It can be divided in two parts, 3132035 and 5302313, that added together give a palindrome (8434348).

The spelling of 31320355302313 in words is "thirty-one trillion, three hundred twenty billion, three hundred fifty-five million, three hundred two thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 233 539 1631 2563 11417 17941 125587 249391699 1745741893 2743308689 12220193251 19203160823 58108265867 134422125761 406757861069 639190924537 2847305027483 4474336471759 31320355302313