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313112112223177 is a prime number
BaseRepresentation
bin100011100110001100001100…
…0001110010101001111001001
31112001122020002110101010222201
41013030120120032111033021
5312020012101212120202
63025533415114520201
7122644414013435131
oct10714303016251711
91461566073333881
10313112112223177
1190849112596913
122b14b284a36061
1310593465067717
1457469c838dac1
15262eb7076c387
hex11cc6183953c9

313112112223177 has 2 divisors, whose sum is σ = 313112112223178. Its totient is φ = 313112112223176.

The previous prime is 313112112223153. The next prime is 313112112223193. The reversal of 313112112223177 is 771322211211313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224351388116496 + 88760724106681 = 14978364^2 + 9421291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313112112223177 is a prime.

It is not a weakly prime, because it can be changed into another prime (313112112223117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556056111588 + 156556056111589.

It is an arithmetic number, because the mean of its divisors is an integer number (156556056111589).

Almost surely, 2313112112223177 is an apocalyptic number.

It is an amenable number.

313112112223177 is a deficient number, since it is larger than the sum of its proper divisors (1).

313112112223177 is an equidigital number, since it uses as much as digits as its factorization.

313112112223177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21168, while the sum is 37.

The spelling of 313112112223177 in words is "three hundred thirteen trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-three thousand, one hundred seventy-seven".