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211401964799 is a prime number
BaseRepresentation
bin1100010011100010001…
…0011111110011111111
3202012122222002111202222
43010320202133303333
511430422400333144
6241041113435555
721162511023614
oct3047042376377
9665588074688
10211401964799
1181722997103
1234b7a10bbbb
1316c205c54cc
14a33650850b
1557744642ee
hex313889fcff

211401964799 has 2 divisors, whose sum is σ = 211401964800. Its totient is φ = 211401964798.

The previous prime is 211401964793. The next prime is 211401964811. The reversal of 211401964799 is 997469104112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 211401964799 - 24 = 211401964783 is a prime.

It is a super-2 number, since 2×2114019647992 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211401964799.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211401964793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105700982399 + 105700982400.

It is an arithmetic number, because the mean of its divisors is an integer number (105700982400).

Almost surely, 2211401964799 is an apocalyptic number.

211401964799 is a deficient number, since it is larger than the sum of its proper divisors (1).

211401964799 is an equidigital number, since it uses as much as digits as its factorization.

211401964799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 211401964799 in words is "two hundred eleven billion, four hundred one million, nine hundred sixty-four thousand, seven hundred ninety-nine".