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31434111257 is a prime number
BaseRepresentation
bin11101010001100111…
…100111100100011001
310000010200211022011212
4131101213213210121
51003334113030012
622235102032505
72161652352143
oct352147474431
9100120738155
1031434111257
111237081104a
126113278735
132c6c527c43
141742ab9c93
15c3e9aab22
hex7519e7919

31434111257 has 2 divisors, whose sum is σ = 31434111258. Its totient is φ = 31434111256.

The previous prime is 31434111227. The next prime is 31434111311. The reversal of 31434111257 is 75211143413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27442904281 + 3991206976 = 165659^2 + 63176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31434111257 - 26 = 31434111193 is a prime.

It is not a weakly prime, because it can be changed into another prime (31434111217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15717055628 + 15717055629.

It is an arithmetic number, because the mean of its divisors is an integer number (15717055629).

Almost surely, 231434111257 is an apocalyptic number.

It is an amenable number.

31434111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434111257 is an equidigital number, since it uses as much as digits as its factorization.

31434111257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 32.

The spelling of 31434111257 in words is "thirty-one billion, four hundred thirty-four million, one hundred eleven thousand, two hundred fifty-seven".