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2211211213117 is a prime number
BaseRepresentation
bin100000001011010110011…
…101010111100100111101
321211101112010000011121221
4200023112131113210331
5242212030032304432
64411452202153341
7315516606123424
oct40132635274475
97741463004557
102211211213117
117828510a1375
122b866a1b2851
1313069348cc5a
14790479022bb
153c7ba812b97
hex202d675793d

2211211213117 has 2 divisors, whose sum is σ = 2211211213118. Its totient is φ = 2211211213116.

The previous prime is 2211211213111. The next prime is 2211211213153. The reversal of 2211211213117 is 7113121121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2110029328836 + 101181884281 = 1452594^2 + 318091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211211213117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211211213091 and 2211211213100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211211213111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105605606558 + 1105605606559.

It is an arithmetic number, because the mean of its divisors is an integer number (1105605606559).

Almost surely, 22211211213117 is an apocalyptic number.

It is an amenable number.

2211211213117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211211213117 is an equidigital number, since it uses as much as digits as its factorization.

2211211213117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 25.

Adding to 2211211213117 its reverse (7113121121122), we get a palindrome (9324332334239).

The spelling of 2211211213117 in words is "two trillion, two hundred eleven billion, two hundred eleven million, two hundred thirteen thousand, one hundred seventeen".