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31001057 is a prime number
BaseRepresentation
bin111011001000…
…0100111100001
32011100000110022
41312100213201
530414013212
63024243225
7524335043
oct166204741
964300408
1031001057
111655460a
12a470515
136565829
14418da93
152ac5772
hex1d909e1

31001057 has 2 divisors, whose sum is σ = 31001058. Its totient is φ = 31001056.

The previous prime is 31001039. The next prime is 31001083. The reversal of 31001057 is 75010013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30459361 + 541696 = 5519^2 + 736^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31001057 is a prime.

It is a super-2 number, since 2×310010572 = 1922131070234498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31001657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500528 + 15500529.

It is an arithmetic number, because the mean of its divisors is an integer number (15500529).

Almost surely, 231001057 is an apocalyptic number.

It is an amenable number.

31001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001057 is an equidigital number, since it uses as much as digits as its factorization.

31001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 31001057 is about 5567.8592834230. The cubic root of 31001057 is about 314.1416355635.

The spelling of 31001057 in words is "thirty-one million, one thousand, fifty-seven".