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211211261116397 is a prime number
BaseRepresentation
bin110000000001100001110100…
…001100001111111111101101
31000200211121011221100101222022
4300001201310030033333231
5210140441130321211042
62025113040331555525
762326336642412243
oct6001416414177755
91020747157311868
10211211261116397
11613312136a7923
121b8321a7bbbba5
1390b11a0a61b89
143a22972abc793
151964152639cd2
hexc0187430ffed

211211261116397 has 2 divisors, whose sum is σ = 211211261116398. Its totient is φ = 211211261116396.

The previous prime is 211211261116367. The next prime is 211211261116433. The reversal of 211211261116397 is 793611162112112.

It is a happy number.

211211261116397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211194311940676 + 16949175721 = 14532526^2 + 130189^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211261116397 - 216 = 211211261050861 is a prime.

It is a super-2 number, since 2×2112112611163972 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211211261116367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605630558198 + 105605630558199.

It is an arithmetic number, because the mean of its divisors is an integer number (105605630558199).

Almost surely, 2211211261116397 is an apocalyptic number.

It is an amenable number.

211211261116397 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211261116397 is an equidigital number, since it uses as much as digits as its factorization.

211211261116397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 44.

The spelling of 211211261116397 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred sixty-one million, one hundred sixteen thousand, three hundred ninety-seven".