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12210113137 is a prime number
BaseRepresentation
bin10110101111100011…
…11000101001110001
31011111221111000101111
423113301320221301
5200001242110022
65335333033321
7611402151325
oct132761705161
934457430344
1012210113137
1151a63217a2
122449185841
1311c7850021
1483b8b3985
154b6e26477
hex2d7c78a71

12210113137 has 2 divisors, whose sum is σ = 12210113138. Its totient is φ = 12210113136.

The previous prime is 12210113093. The next prime is 12210113143. The reversal of 12210113137 is 73131101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6853190656 + 5356922481 = 82784^2 + 73191^2 .

It is an emirp because it is prime and its reverse (73131101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12210113137 - 215 = 12210080369 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210113147) 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, 6105056568 + 6105056569.

It is an arithmetic number, because the mean of its divisors is an integer number (6105056569).

Almost surely, 212210113137 is an apocalyptic number.

It is an amenable number.

12210113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210113137 is an equidigital number, since it uses as much as digits as its factorization.

12210113137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 12210113137 its reverse (73131101221), we get a palindrome (85341214358).

The spelling of 12210113137 in words is "twelve billion, two hundred ten million, one hundred thirteen thousand, one hundred thirty-seven".