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31017902161 = 53233232
BaseRepresentation
bin11100111000110011…
…111010000001010001
32222001200122200122011
4130320303322001101
51002011040332121
622125513142521
72145436550431
oct347063720121
988050580564
1031017902161
1112177884a94
1260179baa41
132c0422c87c
1417036d62c1
15c181947e1
hex738cfa051

31017902161 has 9 divisors (see below), whose sum is σ = 31623704539. Its totient is φ = 30423500536.

The previous prime is 31017902141. The next prime is 31017902171. The reversal of 31017902161 is 16120971013.

The square root of 31017902161 is 176119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22360716225 + 8657185936 = 149535^2 + 93044^2 .

It is not a de Polignac number, because 31017902161 - 213 = 31017893969 is a prime.

It is a super-2 number, since 2×310179021612 (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 (31017902141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9332646 + ... + 9335968.

Almost surely, 231017902161 is an apocalyptic number.

31017902161 is the 176119-th square number.

31017902161 is the 88060-th centered octagonal number.

It is an amenable number.

31017902161 is a deficient number, since it is larger than the sum of its proper divisors (605802378).

31017902161 is an frugal number, since it uses more digits than its factorization.

31017902161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 31017902161 in words is "thirty-one billion, seventeen million, nine hundred two thousand, one hundred sixty-one".

Divisors: 1 53 2809 3323 176119 9334307 11042329 585243437 31017902161