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33130056961 is a prime number
BaseRepresentation
bin11110110110101101…
…001000110100000001
310011111220001021022201
4132312231020310001
51020322243310321
623115244033201
72251664560231
oct366655106401
9104456037281
1033130056961
1113061065171
126507232801
13317c9b5001
141864027cc1
15cdd80d291
hex7b6b48d01

33130056961 has 2 divisors, whose sum is σ = 33130056962. Its totient is φ = 33130056960.

The previous prime is 33130056917. The next prime is 33130056983. The reversal of 33130056961 is 16965003133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18785443600 + 14344613361 = 137060^2 + 119769^2 .

It is a cyclic number.

It is not a de Polignac number, because 33130056961 - 229 = 32593186049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33130056961.

It is not a weakly prime, because it can be changed into another prime (33130056901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565028480 + 16565028481.

It is an arithmetic number, because the mean of its divisors is an integer number (16565028481).

Almost surely, 233130056961 is an apocalyptic number.

It is an amenable number.

33130056961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33130056961 is an equidigital number, since it uses as much as digits as its factorization.

33130056961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 37.

The spelling of 33130056961 in words is "thirty-three billion, one hundred thirty million, fifty-six thousand, nine hundred sixty-one".