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221079120138133 is a prime number
BaseRepresentation
bin110010010001000111111110…
…011011000100111110010101
31001222202221212000000110010121
4302101013332123010332111
5212434130014223410013
62102110202401151541
764365303456224215
oct6221077633047625
91058687760013117
10221079120138133
1164496145885094
122096674602b5b1
1396488965aab1a
143c8440226a245
151a85b967aa58d
hexc911fe6c4f95

221079120138133 has 2 divisors, whose sum is σ = 221079120138134. Its totient is φ = 221079120138132.

The previous prime is 221079120138089. The next prime is 221079120138241. The reversal of 221079120138133 is 331831021970122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214927122914449 + 6151997223684 = 14660393^2 + 2480322^2 .

It is a cyclic number.

It is not a de Polignac number, because 221079120138133 - 245 = 185894748049301 is a prime.

It is a super-2 number, since 2×2210791201381332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221079120138133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221079120130133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110539560069066 + 110539560069067.

It is an arithmetic number, because the mean of its divisors is an integer number (110539560069067).

Almost surely, 2221079120138133 is an apocalyptic number.

It is an amenable number.

221079120138133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221079120138133 is an equidigital number, since it uses as much as digits as its factorization.

221079120138133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 221079120138133 in words is "two hundred twenty-one trillion, seventy-nine billion, one hundred twenty million, one hundred thirty-eight thousand, one hundred thirty-three".