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112813608961 is a prime number
BaseRepresentation
bin110100100010000110…
…1110001000000000001
3101210012011201010021101
41221010031301000001
53322020240441321
6123454215054401
711102424566014
oct1510415610001
9353164633241
10112813608961
1143931383179
1219a45071401
13a83b3b0591
145662b4b37b
152e0411e791
hex1a44371001

112813608961 has 2 divisors, whose sum is σ = 112813608962. Its totient is φ = 112813608960.

The previous prime is 112813608959. The next prime is 112813608979. The reversal of 112813608961 is 169806318211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80397767025 + 32415841936 = 283545^2 + 180044^2 .

It is a cyclic number.

It is not a de Polignac number, because 112813608961 - 21 = 112813608959 is a prime.

Together with 112813608959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (112813608161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56406804480 + 56406804481.

It is an arithmetic number, because the mean of its divisors is an integer number (56406804481).

Almost surely, 2112813608961 is an apocalyptic number.

It is an amenable number.

112813608961 is a deficient number, since it is larger than the sum of its proper divisors (1).

112813608961 is an equidigital number, since it uses as much as digits as its factorization.

112813608961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 112813608961 in words is "one hundred twelve billion, eight hundred thirteen million, six hundred eight thousand, nine hundred sixty-one".