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132817131085733 is a prime number
BaseRepresentation
bin11110001100101111100101…
…111010110001111110100101
3122102021012020020011012110022
4132030233211322301332211
5114402033441024220413
61150251203034004525
736655502215635113
oct3614574572617645
9572235206135408
10132817131085733
1139357479a64aa6
1212a90a24576745
1359157a8c95033
1424b2552256ab3
151054d297d5608
hex78cbe5eb1fa5

132817131085733 has 2 divisors, whose sum is σ = 132817131085734. Its totient is φ = 132817131085732.

The previous prime is 132817131085711. The next prime is 132817131085763. The reversal of 132817131085733 is 337580131718231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71061140269729 + 61755990816004 = 8429777^2 + 7858498^2 .

It is a cyclic number.

It is not a de Polignac number, because 132817131085733 - 214 = 132817131069349 is a prime.

It is a super-2 number, since 2×1328171310857332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132817131085763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66408565542866 + 66408565542867.

It is an arithmetic number, because the mean of its divisors is an integer number (66408565542867).

Almost surely, 2132817131085733 is an apocalyptic number.

It is an amenable number.

132817131085733 is a deficient number, since it is larger than the sum of its proper divisors (1).

132817131085733 is an equidigital number, since it uses as much as digits as its factorization.

132817131085733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 132817131085733 in words is "one hundred thirty-two trillion, eight hundred seventeen billion, one hundred thirty-one million, eighty-five thousand, seven hundred thirty-three".