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231091874567 is a prime number
BaseRepresentation
bin1101011100111000100…
…1100010101100000111
3211002111012010120012022
43113032021202230013
512241234004441232
6254055004513355
722460446344431
oct3271611425407
9732435116168
10231091874567
118a00737a804
123895424b85b
1318a3a97b6a8
14b283551651
156027d7b812
hex35ce262b07

231091874567 has 2 divisors, whose sum is σ = 231091874568. Its totient is φ = 231091874566.

The previous prime is 231091874549. The next prime is 231091874593. The reversal of 231091874567 is 765478190132.

231091874567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231091874567 is a prime.

It is a super-2 number, since 2×2310918745672 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231091874537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115545937283 + 115545937284.

It is an arithmetic number, because the mean of its divisors is an integer number (115545937284).

It is a 1-persistent number, because it is pandigital, but 2⋅231091874567 = 462183749134 is not.

Almost surely, 2231091874567 is an apocalyptic number.

231091874567 is a deficient number, since it is larger than the sum of its proper divisors (1).

231091874567 is an equidigital number, since it uses as much as digits as its factorization.

231091874567 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 231091874567 in words is "two hundred thirty-one billion, ninety-one million, eight hundred seventy-four thousand, five hundred sixty-seven".