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22131114444113 is a prime number
BaseRepresentation
bin1010000100000110011010…
…01101110000010101010001
32220100201021102021020011112
411002003031031300111101
510400044010244202423
6115022521004423105
74442630434636343
oct502031515602521
986321242236145
1022131114444113
117062831168344
1225951a9547a95
13c46c55589bcc
1456721a1d5293
15285a33962a78
hex1420cd370551

22131114444113 has 2 divisors, whose sum is σ = 22131114444114. Its totient is φ = 22131114444112.

The previous prime is 22131114444053. The next prime is 22131114444137. The reversal of 22131114444113 is 31144441113122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19549989442369 + 2581125001744 = 4421537^2 + 1606588^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131114444113 - 226 = 22131047335249 is a prime.

It is a super-2 number, since 2×221311144441132 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22131114444113.

It is not a weakly prime, because it can be changed into another prime (22131114444163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065557222056 + 11065557222057.

It is an arithmetic number, because the mean of its divisors is an integer number (11065557222057).

Almost surely, 222131114444113 is an apocalyptic number.

It is an amenable number.

22131114444113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131114444113 is an equidigital number, since it uses as much as digits as its factorization.

22131114444113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 32.

Adding to 22131114444113 its reverse (31144441113122), we get a palindrome (53275555557235).

The spelling of 22131114444113 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred fourteen million, four hundred forty-four thousand, one hundred thirteen".