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31113013093 is a prime number
BaseRepresentation
bin11100111110011110…
…101110011101100101
32222022022121211022021
4130332132232131211
51002204412404333
622143151503141
72151003150661
oct347636563545
988268554267
1031113013093
1112216537268
126043827ab1
132c1ab50c26
1417121b38a1
15c216d082d
hex73e7ae765

31113013093 has 2 divisors, whose sum is σ = 31113013094. Its totient is φ = 31113013092.

The previous prime is 31113013079. The next prime is 31113013147. The reversal of 31113013093 is 39031031113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31109198884 + 3814209 = 176378^2 + 1953^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31113013093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31113013193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556506546 + 15556506547.

It is an arithmetic number, because the mean of its divisors is an integer number (15556506547).

Almost surely, 231113013093 is an apocalyptic number.

It is an amenable number.

31113013093 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113013093 is an equidigital number, since it uses as much as digits as its factorization.

31113013093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The spelling of 31113013093 in words is "thirty-one billion, one hundred thirteen million, thirteen thousand, ninety-three".