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12901680031 is a prime number
BaseRepresentation
bin11000000010000000…
…00000001110011111
31020022010210020211011
430001000000032133
5202410312230111
65532115440051
7634500320332
oct140100001637
936263706734
1012901680031
115520731189
1226008b6027
1312a7bc8ac6
148a5694619
155079d0021
hex30100039f

12901680031 has 2 divisors, whose sum is σ = 12901680032. Its totient is φ = 12901680030.

The previous prime is 12901679977. The next prime is 12901680047. The reversal of 12901680031 is 13008610921.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12901680031 - 29 = 12901679519 is a prime.

It is a super-3 number, since 3×129016800313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12901679975 and 12901680002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12901680061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6450840015 + 6450840016.

It is an arithmetic number, because the mean of its divisors is an integer number (6450840016).

Almost surely, 212901680031 is an apocalyptic number.

12901680031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12901680031 is an equidigital number, since it uses as much as digits as its factorization.

12901680031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 12901680031 in words is "twelve billion, nine hundred one million, six hundred eighty thousand, thirty-one".