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12632590001 is a prime number
BaseRepresentation
bin10111100001111011…
…00000011010110001
31012121101110001200202
423300331200122301
5201332420340001
65445304124545
7625022146313
oct136075403261
935541401622
1012632590001
1153a2849929
122546766755
131264231235
1487ba497b3
154de07996b
hex2f0f606b1

12632590001 has 2 divisors, whose sum is σ = 12632590002. Its totient is φ = 12632590000.

The previous prime is 12632589953. The next prime is 12632590031. The reversal of 12632590001 is 10009523621.

12632590001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11555175025 + 1077414976 = 107495^2 + 32824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12632590001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12632590031) 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, 6316295000 + 6316295001.

It is an arithmetic number, because the mean of its divisors is an integer number (6316295001).

Almost surely, 212632590001 is an apocalyptic number.

It is an amenable number.

12632590001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12632590001 is an equidigital number, since it uses as much as digits as its factorization.

12632590001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 12632590001 in words is "twelve billion, six hundred thirty-two million, five hundred ninety thousand, one".