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31057129 is a prime number
BaseRepresentation
bin111011001111…
…0010011101001
32011102212101001
41312132103221
530422312004
63025355001
7524660365
oct166362351
964385331
1031057129
1116592754
12a498a61
1365851cc
1441a62a5
152ad71a4
hex1d9e4e9

31057129 has 2 divisors, whose sum is σ = 31057130. Its totient is φ = 31057128.

The previous prime is 31057127. The next prime is 31057141. The reversal of 31057129 is 92175013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27541504 + 3515625 = 5248^2 + 1875^2 .

It is a cyclic number.

It is not a de Polignac number, because 31057129 - 21 = 31057127 is a prime.

Together with 31057127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 31057097 and 31057106.

It is not a weakly prime, because it can be changed into another prime (31057123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15528564 + 15528565.

It is an arithmetic number, because the mean of its divisors is an integer number (15528565).

Almost surely, 231057129 is an apocalyptic number.

It is an amenable number.

31057129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31057129 is an equidigital number, since it uses as much as digits as its factorization.

31057129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 31057129 is about 5572.8923370185. The cubic root of 31057129 is about 314.3309187930.

The spelling of 31057129 in words is "thirty-one million, fifty-seven thousand, one hundred twenty-nine".