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31300244257 is a prime number
BaseRepresentation
bin11101001001101000…
…111101001100100001
32222210100221011011211
4131021220331030201
51003100330304012
622213520510121
72155435454302
oct351150751441
988710834154
1031300244257
1112302198867
12609647b341
132c4a8872b9
14172cdd07a9
15c32d666a7
hex749a3d321

31300244257 has 2 divisors, whose sum is σ = 31300244258. Its totient is φ = 31300244256.

The previous prime is 31300244249. The next prime is 31300244303. The reversal of 31300244257 is 75244200313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31297501921 + 2742336 = 176911^2 + 1656^2 .

It is a cyclic number.

It is not a de Polignac number, because 31300244257 - 23 = 31300244249 is a prime.

It is a super-2 number, since 2×313002442572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31300244057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650122128 + 15650122129.

It is an arithmetic number, because the mean of its divisors is an integer number (15650122129).

Almost surely, 231300244257 is an apocalyptic number.

It is an amenable number.

31300244257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31300244257 is an equidigital number, since it uses as much as digits as its factorization.

31300244257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 31300244257 in words is "thirty-one billion, three hundred million, two hundred forty-four thousand, two hundred fifty-seven".