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13022138910097 is a prime number
BaseRepresentation
bin1011110101111111001111…
…1101101100010110010001
31201002220102020202200120201
42331133303331230112101
53201323320030110342
643410142114135201
72512550512260652
oct275376375542621
951086366680521
1013022138910097
114170726a23609
12156393bb81501
13735ca0525615
143303bc405529
15178b080a3db7
hexbd7f3f6c591

13022138910097 has 2 divisors, whose sum is σ = 13022138910098. Its totient is φ = 13022138910096.

The previous prime is 13022138910091. The next prime is 13022138910103. The reversal of 13022138910097 is 79001983122031.

It is a balanced prime because it is at equal distance from previous prime (13022138910091) and next prime (13022138910103).

It can be written as a sum of positive squares in only one way, i.e., 10362160578961 + 2659978331136 = 3219031^2 + 1630944^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022138910097 - 23 = 13022138910089 is a prime.

It is a super-2 number, since 2×130221389100972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13022138910091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511069455048 + 6511069455049.

It is an arithmetic number, because the mean of its divisors is an integer number (6511069455049).

Almost surely, 213022138910097 is an apocalyptic number.

It is an amenable number.

13022138910097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022138910097 is an equidigital number, since it uses as much as digits as its factorization.

13022138910097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 13022138910097 in words is "thirteen trillion, twenty-two billion, one hundred thirty-eight million, nine hundred ten thousand, ninety-seven".