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31313200131 = 337324165921
BaseRepresentation
bin11101001010011010…
…011000010000000011
32222211021022101022000
4131022122120100003
51003112134401011
622215102315043
72155653544443
oct351232302003
988737271260
1031313200131
11123095377a4
12609a888a83
132c504723b5
141730a04123
15c34075356
hex74a698403

31313200131 has 32 divisors (see below), whose sum is σ = 47221247040. Its totient is φ = 20503756800.

The previous prime is 31313200129. The next prime is 31313200153. The reversal of 31313200131 is 13100231313.

It is a happy number.

31313200131 is a `hidden beast` number, since 313 + 1 + 320 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 31313200131 - 21 = 31313200129 is a prime.

It is a super-2 number, since 2×313132001312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31313200111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442051 + ... + 507971.

It is an arithmetic number, because the mean of its divisors is an integer number (1475663970).

Almost surely, 231313200131 is an apocalyptic number.

31313200131 is a deficient number, since it is larger than the sum of its proper divisors (15908046909).

31313200131 is a wasteful number, since it uses less digits than its factorization.

31313200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66244 (or 66238 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31313200131 its reverse (13100231313), we get a palindrome (44413431444).

The spelling of 31313200131 in words is "thirty-one billion, three hundred thirteen million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 27 73 219 241 657 723 1971 2169 6507 17593 52779 65921 158337 197763 475011 593289 1779867 4812233 14436699 15886961 43310097 47660883 129930291 142982649 428947947 1159748153 3479244459 10437733377 31313200131