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111438312961 is a prime number
BaseRepresentation
bin110011111001000111…
…1011011011000000001
3101122122022211211211111
41213302033123120001
53311211202003321
6123105525443321
711023355013463
oct1476217333001
9348568754744
10111438312961
1143296027a08
1219720570541
13a67c4a1371
14557222a133
152d735095e1
hex19f23db601

111438312961 has 2 divisors, whose sum is σ = 111438312962. Its totient is φ = 111438312960.

The previous prime is 111438312941. The next prime is 111438312967. The reversal of 111438312961 is 169213834111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83165908225 + 28272404736 = 288385^2 + 168144^2 .

It is a cyclic number.

It is not a de Polignac number, because 111438312961 - 29 = 111438312449 is a prime.

It is not a weakly prime, because it can be changed into another prime (111438312967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55719156480 + 55719156481.

It is an arithmetic number, because the mean of its divisors is an integer number (55719156481).

Almost surely, 2111438312961 is an apocalyptic number.

It is an amenable number.

111438312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111438312961 is an equidigital number, since it uses as much as digits as its factorization.

111438312961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 40.

The spelling of 111438312961 in words is "one hundred eleven billion, four hundred thirty-eight million, three hundred twelve thousand, nine hundred sixty-one".