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31397129 is a prime number
BaseRepresentation
bin111011111000…
…1010100001001
32012002010202122
41313301110021
531014202004
63040541025
7530604551
oct167612411
965063678
1031397129
11167a5145
12a621775
136673baa
144254161
152b52cbe
hex1df1509

31397129 has 2 divisors, whose sum is σ = 31397130. Its totient is φ = 31397128.

The previous prime is 31397083. The next prime is 31397143. The reversal of 31397129 is 92179313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18292729 + 13104400 = 4277^2 + 3620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31397129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31397159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15698564 + 15698565.

It is an arithmetic number, because the mean of its divisors is an integer number (15698565).

Almost surely, 231397129 is an apocalyptic number.

It is an amenable number.

31397129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31397129 is an equidigital number, since it uses as much as digits as its factorization.

31397129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 35.

The square root of 31397129 is about 5603.3141086325. The cubic root of 31397129 is about 315.4738111831.

The spelling of 31397129 in words is "thirty-one million, three hundred ninety-seven thousand, one hundred twenty-nine".