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77111122117 is a prime number
BaseRepresentation
bin100011111010000101…
…1100101100011000101
321101001000011212112211
41013310023211203011
52230410421401432
655231354543421
75366612503051
oct1076413454305
9241030155484
1077111122117
112a7802443a7
1212b40437b71
13736b789613
143a3721ac61
152014a79d47
hex11f42e58c5

77111122117 has 2 divisors, whose sum is σ = 77111122118. Its totient is φ = 77111122116.

The previous prime is 77111122051. The next prime is 77111122141. The reversal of 77111122117 is 71122111177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76325665441 + 785456676 = 276271^2 + 28026^2 .

It is a cyclic number.

It is not a de Polignac number, because 77111122117 - 211 = 77111120069 is a prime.

It is a super-2 number, since 2×771111221172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77111120117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38555561058 + 38555561059.

It is an arithmetic number, because the mean of its divisors is an integer number (38555561059).

Almost surely, 277111122117 is an apocalyptic number.

It is an amenable number.

77111122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

77111122117 is an equidigital number, since it uses as much as digits as its factorization.

77111122117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1372, while the sum is 31.

The spelling of 77111122117 in words is "seventy-seven billion, one hundred eleven million, one hundred twenty-two thousand, one hundred seventeen".