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13122764033 is a prime number
BaseRepresentation
bin11000011100010110…
…10111110100000001
31020212112210111001112
430032023113310001
5203333411422113
610010054213105
7643123440161
oct141613276401
936775714045
1013122764033
115624504935
122662954195
131311955a42
148c6ba45a1
1551c1015a8
hex30e2d7d01

13122764033 has 2 divisors, whose sum is σ = 13122764034. Its totient is φ = 13122764032.

The previous prime is 13122764003. The next prime is 13122764041. The reversal of 13122764033 is 33046722131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13066318864 + 56445169 = 114308^2 + 7513^2 .

It is an emirp because it is prime and its reverse (33046722131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13122764033 - 210 = 13122763009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122764003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561382016 + 6561382017.

It is an arithmetic number, because the mean of its divisors is an integer number (6561382017).

Almost surely, 213122764033 is an apocalyptic number.

It is an amenable number.

13122764033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122764033 is an equidigital number, since it uses as much as digits as its factorization.

13122764033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 13122764033 in words is "thirteen billion, one hundred twenty-two million, seven hundred sixty-four thousand, thirty-three".