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313044312401 is a prime number
BaseRepresentation
bin1001000111000101110…
…01010010000101010001
31002221000121002202101122
410203202321102011101
520112103320444101
6355451030012025
731421346515552
oct4434271220521
91087017082348
10313044312401
11110841398277
1250805aa7015
132369b446c62
1411219724329
15822296551b
hex48e2e52151

313044312401 has 2 divisors, whose sum is σ = 313044312402. Its totient is φ = 313044312400.

The previous prime is 313044312359. The next prime is 313044312431. The reversal of 313044312401 is 104213440313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254843232400 + 58201080001 = 504820^2 + 241249^2 .

It is an emirp because it is prime and its reverse (104213440313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313044312401 is a prime.

It is a super-2 number, since 2×3130443124012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313044312431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156522156200 + 156522156201.

It is an arithmetic number, because the mean of its divisors is an integer number (156522156201).

Almost surely, 2313044312401 is an apocalyptic number.

It is an amenable number.

313044312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313044312401 is an equidigital number, since it uses as much as digits as its factorization.

313044312401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 313044312401 its reverse (104213440313), we get a palindrome (417257752714).

The spelling of 313044312401 in words is "three hundred thirteen billion, forty-four million, three hundred twelve thousand, four hundred one".