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31137293 = 112277929
BaseRepresentation
bin111011011000…
…1111000001101
32011120221100002
41312301320031
530432343133
63031214045
7525443165
oct166617015
964527302
1031137293
1116637a00
12a517325
1365b2845
1441c75a5
152b00ce8
hex1db1e0d

31137293 has 12 divisors (see below), whose sum is σ = 34385820. Its totient is φ = 28174080.

The previous prime is 31137283. The next prime is 31137311. The reversal of 31137293 is 39273113.

It can be written as a sum of positive squares in 2 ways, for example, as 2439844 + 28697449 = 1562^2 + 5357^2 .

It is not a de Polignac number, because 31137293 - 24 = 31137277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31137233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33053 + ... + 33981.

It is an arithmetic number, because the mean of its divisors is an integer number (2865485).

Almost surely, 231137293 is an apocalyptic number.

It is an amenable number.

31137293 is a deficient number, since it is larger than the sum of its proper divisors (3248527).

31137293 is a wasteful number, since it uses less digits than its factorization.

31137293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 31137293 is about 5580.0800173474. The cubic root of 31137293 is about 314.6011345257.

The spelling of 31137293 in words is "thirty-one million, one hundred thirty-seven thousand, two hundred ninety-three".

Divisors: 1 11 121 277 929 3047 10219 33517 112409 257333 2830663 31137293