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431201233009 is a prime number
BaseRepresentation
bin1100100011001011001…
…10001010100001110001
31112020000011012020021101
412101211212022201301
524031100003424014
6530031402524401
743103366001631
oct6214546124161
91466004166241
10431201233009
11156964944588
126b6a0506701
133187b839bb1
1416c27d7c6c1
15b33ac03474
hex646598a871

431201233009 has 2 divisors, whose sum is σ = 431201233010. Its totient is φ = 431201233008.

The previous prime is 431201233007. The next prime is 431201233049. The reversal of 431201233009 is 900332102134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330800973409 + 100400259600 = 575153^2 + 316860^2 .

It is a cyclic number.

It is not a de Polignac number, because 431201233009 - 21 = 431201233007 is a prime.

It is a super-2 number, since 2×4312012330092 (a number of 24 digits) contains 22 as substring.

Together with 431201233007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (431201233007) 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, 215600616504 + 215600616505.

It is an arithmetic number, because the mean of its divisors is an integer number (215600616505).

Almost surely, 2431201233009 is an apocalyptic number.

It is an amenable number.

431201233009 is a deficient number, since it is larger than the sum of its proper divisors (1).

431201233009 is an equidigital number, since it uses as much as digits as its factorization.

431201233009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 431201233009 in words is "four hundred thirty-one billion, two hundred one million, two hundred thirty-three thousand, nine".