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221313331199993 is a prime number
BaseRepresentation
bin110010010100100010000110…
…011111010111111111111001
31002000121100101120110010220012
4302110202012133113333321
5213001444200241344433
62102405535113111305
764421234442342314
oct6224420637277771
91060540346403805
10221313331199993
116457650292142a
12209a400a9b8535
1396649b0541a66
143c9189db6b97b
151a8bd033c0848
hexc948867d7ff9

221313331199993 has 2 divisors, whose sum is σ = 221313331199994. Its totient is φ = 221313331199992.

The previous prime is 221313331199941. The next prime is 221313331200007. The reversal of 221313331199993 is 399991133313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219405208902889 + 1908122297104 = 14812333^2 + 1381348^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313331199993 - 210 = 221313331198969 is a prime.

It is not a weakly prime, because it can be changed into another prime (221313331109993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656665599996 + 110656665599997.

It is an arithmetic number, because the mean of its divisors is an integer number (110656665599997).

Almost surely, 2221313331199993 is an apocalyptic number.

It is an amenable number.

221313331199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313331199993 is an equidigital number, since it uses as much as digits as its factorization.

221313331199993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6377292, while the sum is 59.

The spelling of 221313331199993 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred ninety-nine thousand, nine hundred ninety-three".