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31361016313 = 112259181953
BaseRepresentation
bin11101001101010000…
…110010000111111001
32222221121021200202201
4131031100302013321
51003211410010223
622223531230201
72160104145304
oct351520620771
988847250681
1031361016313
1112333526800
1260b28a8361
132c5a3447b3
1417370cdb3b
15c3836cead
hex74d4321f9

31361016313 has 6 divisors (see below), whose sum is σ = 34471199882. Its totient is φ = 28510014720.

The previous prime is 31361016289. The next prime is 31361016329.

31361016313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 21137379769 + 10223636544 = 145387^2 + 101112^2 .

It is not a de Polignac number, because 31361016313 - 233 = 22771081721 is a prime.

It is a super-2 number, since 2×313610163132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31361716313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129590856 + ... + 129591097.

Almost surely, 231361016313 is an apocalyptic number.

It is an amenable number.

31361016313 is a deficient number, since it is larger than the sum of its proper divisors (3110183569).

31361016313 is a wasteful number, since it uses less digits than its factorization.

31361016313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259181975 (or 259181964 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 313610 and 16313, that added together give a palindrome (329923).

The spelling of 31361016313 in words is "thirty-one billion, three hundred sixty-one million, sixteen thousand, three hundred thirteen".

Divisors: 1 11 121 259181953 2851001483 31361016313