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313474464474313 is a prime number
BaseRepresentation
bin100011101000110100111011…
…0000110011110010011001001
31112002220212101102001201102111
41013101221312012132103021
5312041431200401134223
63030412103025102321
7123012532312651312
oct10721516606362311
91462825342051374
10313474464474313
1190978856a2a27a
122b1a954ba879a1
13105bb690a6158c
14575a360535609
1526392cbe2230d
hex11d1a7619e4c9

313474464474313 has 2 divisors, whose sum is σ = 313474464474314. Its totient is φ = 313474464474312.

The previous prime is 313474464474251. The next prime is 313474464474343.

313474464474313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255020075545104 + 58454388929209 = 15969348^2 + 7645547^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313474464474313 - 29 = 313474464473801 is a prime.

It is a super-2 number, since 2×3134744644743132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313474464474343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156737232237156 + 156737232237157.

It is an arithmetic number, because the mean of its divisors is an integer number (156737232237157).

Almost surely, 2313474464474313 is an apocalyptic number.

It is an amenable number.

313474464474313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313474464474313 is an equidigital number, since it uses as much as digits as its factorization.

313474464474313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 97542144, while the sum is 58.

The spelling of 313474464474313 in words is "three hundred thirteen trillion, four hundred seventy-four billion, four hundred sixty-four million, four hundred seventy-four thousand, three hundred thirteen".