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211211111993737 is a prime number
BaseRepresentation
bin110000000001100001101011…
…010011011001000110001001
31000200211120210112202012010211
4300001201223103121012021
5210140440324132244422
62025113013443441121
762326333152035302
oct6001415323310611
91020746715665124
10211211111993737
1161331147504859
121b8321660861a1
1390b1178bac40b
143a2295ad817a9
1519641444d0577
hexc0186b4d9189

211211111993737 has 2 divisors, whose sum is σ = 211211111993738. Its totient is φ = 211211111993736.

The previous prime is 211211111993621. The next prime is 211211111993773. The reversal of 211211111993737 is 737399111112112.

It is a happy number.

Together with next prime (211211111993773) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196129353335161 + 15081758658576 = 14004619^2 + 3883524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211111993737 is a prime.

It is a super-2 number, since 2×2112111119937372 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211111973737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605555996868 + 105605555996869.

It is an arithmetic number, because the mean of its divisors is an integer number (105605555996869).

Almost surely, 2211211111993737 is an apocalyptic number.

It is an amenable number.

211211111993737 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211111993737 is an equidigital number, since it uses as much as digits as its factorization.

211211111993737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142884, while the sum is 49.

The spelling of 211211111993737 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred eleven million, nine hundred ninety-three thousand, seven hundred thirty-seven".