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31372137 = 331161931
BaseRepresentation
bin111011110101…
…1001101101001
32012000212111000
41313223031221
531012402022
63040225213
7530441646
oct167531551
965025430
1031372137
1116788395
12a60b209
1366656c4
144248dcd
152b4a6ac
hex1deb369

31372137 has 8 divisors (see below), whose sum is σ = 46477280. Its totient is φ = 20914740.

The previous prime is 31372111. The next prime is 31372139. The reversal of 31372137 is 73127313.

It is not a de Polignac number, because 31372137 - 27 = 31372009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1161931 = 31372137 / (3 + 1 + 3 + 7 + 2 + 1 + 3 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31372137.

It is not an unprimeable number, because it can be changed into a prime (31372139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580939 + ... + 580992.

It is an arithmetic number, because the mean of its divisors is an integer number (5809660).

Almost surely, 231372137 is an apocalyptic number.

It is an amenable number.

31372137 is a deficient number, since it is larger than the sum of its proper divisors (15105143).

31372137 is a wasteful number, since it uses less digits than its factorization.

31372137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161940 (or 1161934 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 31372137 is about 5601.0835558845. The cubic root of 31372137 is about 315.3900836298.

The spelling of 31372137 in words is "thirty-one million, three hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 1161931 3485793 10457379 31372137