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313112450403121 is a prime number
BaseRepresentation
bin100011100110001100010110…
…0011000011000101100110001
31112001122020222000201110122211
41013030120230120120230301
5312020013244300344441
63025533512435132121
7122644425261062365
oct10714305430305461
91461566860643584
10313112450403121
1190849276478476
122b14b35a144041
13105934ba1427b5
145746a1b2612a5
15262eb902bda81
hex11cc62c618b31

313112450403121 has 2 divisors, whose sum is σ = 313112450403122. Its totient is φ = 313112450403120.

The previous prime is 313112450403097. The next prime is 313112450403139. The reversal of 313112450403121 is 121304054211313.

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., 294413744763121 + 18698705640000 = 17158489^2 + 4324200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313112450403121 is a prime.

It is not a weakly prime, because it can be changed into another prime (313112450400121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556225201560 + 156556225201561.

It is an arithmetic number, because the mean of its divisors is an integer number (156556225201561).

Almost surely, 2313112450403121 is an apocalyptic number.

It is an amenable number.

313112450403121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313112450403121 is an equidigital number, since it uses as much as digits as its factorization.

313112450403121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 313112450403121 in words is "three hundred thirteen trillion, one hundred twelve billion, four hundred fifty million, four hundred three thousand, one hundred twenty-one".