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31181504129 is a prime number
BaseRepresentation
bin11101000010100011…
…111111111010000001
32222111002111112100022
4131002203333322001
51002324431113004
622154035503225
72152464261206
oct350243777201
988432445308
1031181504129
1112251167626
126062757b15
132c2c0b1979
14171b321cad
15c2770e2be
hex7428ffe81

31181504129 has 2 divisors, whose sum is σ = 31181504130. Its totient is φ = 31181504128.

The previous prime is 31181504111. The next prime is 31181504177. The reversal of 31181504129 is 92140518113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16894800400 + 14286703729 = 129980^2 + 119527^2 .

It is a cyclic number.

It is not a de Polignac number, because 31181504129 - 228 = 30913068673 is a prime.

It is not a weakly prime, because it can be changed into another prime (31181504929) 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, 15590752064 + 15590752065.

It is an arithmetic number, because the mean of its divisors is an integer number (15590752065).

Almost surely, 231181504129 is an apocalyptic number.

It is an amenable number.

31181504129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31181504129 is an equidigital number, since it uses as much as digits as its factorization.

31181504129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 31181504129 in words is "thirty-one billion, one hundred eighty-one million, five hundred four thousand, one hundred twenty-nine".