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12164456081 is a prime number
BaseRepresentation
bin10110101010000111…
…01101111010010001
31011101202120101200102
423111003231322101
5144403100043311
65331022302145
7610306112351
oct132503557221
934352511612
1012164456081
115182577998
122435a27955
1311bb25560b
148357cab61
154b2e0843b
hex2d50ede91

12164456081 has 2 divisors, whose sum is σ = 12164456082. Its totient is φ = 12164456080.

The previous prime is 12164456077. The next prime is 12164456107. The reversal of 12164456081 is 18065446121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9856518400 + 2307937681 = 99280^2 + 48041^2 .

It is a cyclic number.

It is not a de Polignac number, because 12164456081 - 22 = 12164456077 is a prime.

It is a super-2 number, since 2×121644560812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12164455081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6082228040 + 6082228041.

It is an arithmetic number, because the mean of its divisors is an integer number (6082228041).

Almost surely, 212164456081 is an apocalyptic number.

It is an amenable number.

12164456081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12164456081 is an equidigital number, since it uses as much as digits as its factorization.

12164456081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 12164456081 in words is "twelve billion, one hundred sixty-four million, four hundred fifty-six thousand, eighty-one".