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221534456134657 is a prime number
BaseRepresentation
bin110010010111110000000010…
…100100000011110000000001
31002001101111011011000200220011
4302113300002210003300001
5213014110031232302112
62103055305115544521
764443223225310161
oct6227600244036001
91061344134020804
10221534456134657
1164651265107716
1220a1aa4115b141
13967c7c0309a73
143c9c4796c45a1
151a9294621eaa7
hexc97c02903c01

221534456134657 has 2 divisors, whose sum is σ = 221534456134658. Its totient is φ = 221534456134656.

The previous prime is 221534456134633. The next prime is 221534456134697. The reversal of 221534456134657 is 756431654435122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152858827504881 + 68675628629776 = 12363609^2 + 8287076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221534456134657 is a prime.

It is not a weakly prime, because it can be changed into another prime (221534456134697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110767228067328 + 110767228067329.

It is an arithmetic number, because the mean of its divisors is an integer number (110767228067329).

Almost surely, 2221534456134657 is an apocalyptic number.

It is an amenable number.

221534456134657 is a deficient number, since it is larger than the sum of its proper divisors (1).

221534456134657 is an equidigital number, since it uses as much as digits as its factorization.

221534456134657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576000, while the sum is 58.

The spelling of 221534456134657 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, four hundred fifty-six million, one hundred thirty-four thousand, six hundred fifty-seven".