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33131012149 is a prime number
BaseRepresentation
bin11110110110110000…
…110010000000110101
310011111221211210121001
4132312300302000311
51020323014342044
623115320323301
72252005646104
oct366660620065
9104457753531
1033131012149
1113061657884
126507613531
13317cc5aa01
1418641d603b
15cdd94b2d4
hex7b6c32035

33131012149 has 2 divisors, whose sum is σ = 33131012150. Its totient is φ = 33131012148.

The previous prime is 33131012111. The next prime is 33131012153. The reversal of 33131012149 is 94121013133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18233100900 + 14897911249 = 135030^2 + 122057^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131012149 - 233 = 24541077557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33131012249) 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, 16565506074 + 16565506075.

It is an arithmetic number, because the mean of its divisors is an integer number (16565506075).

Almost surely, 233131012149 is an apocalyptic number.

It is an amenable number.

33131012149 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131012149 is an equidigital number, since it uses as much as digits as its factorization.

33131012149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 33131012149 in words is "thirty-three billion, one hundred thirty-one million, twelve thousand, one hundred forty-nine".