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313444134442037 is a prime number
BaseRepresentation
bin100011101000100110110011…
…0010010100101010000110101
31112002210222002122202102212202
41013101031212102211100311
5312040432041404121122
63030350125243154245
7123010406564641244
oct10721154622452065
91462728078672782
10313444134442037
1190966a0246a0a5
122b1a36a6515985
13105b88691b4b11
145758ac433a95b
152638604355e92
hex11d13664a5435

313444134442037 has 2 divisors, whose sum is σ = 313444134442038. Its totient is φ = 313444134442036.

The previous prime is 313444134441941. The next prime is 313444134442057. The reversal of 313444134442037 is 730244431444313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296963571182161 + 16480563259876 = 17232631^2 + 4059626^2 .

It is a cyclic number.

It is not a de Polignac number, because 313444134442037 - 230 = 313443060700213 is a prime.

It is a super-2 number, since 2×3134441344420372 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313444134441982 and 313444134442000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313444134442057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156722067221018 + 156722067221019.

It is an arithmetic number, because the mean of its divisors is an integer number (156722067221019).

Almost surely, 2313444134442037 is an apocalyptic number.

It is an amenable number.

313444134442037 is a deficient number, since it is larger than the sum of its proper divisors (1).

313444134442037 is an equidigital number, since it uses as much as digits as its factorization.

313444134442037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4644864, while the sum is 47.

The spelling of 313444134442037 in words is "three hundred thirteen trillion, four hundred forty-four billion, one hundred thirty-four million, four hundred forty-two thousand, thirty-seven".