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221313631872733 is a prime number
BaseRepresentation
bin110010010100100010011000…
…011010010110011011011101
31002000121101011112012220100121
4302110202120122112123131
5213002000304224411413
62102410025013354541
764421245053123241
oct6224423032263335
91060541145186317
10221313631872733
11645766476152a4
12209a4093638a51
139664a2a916b1a
143c918cba78421
151a8bd1e9b3b8d
hexc948986966dd

221313631872733 has 2 divisors, whose sum is σ = 221313631872734. Its totient is φ = 221313631872732.

The previous prime is 221313631872623. The next prime is 221313631872769. The reversal of 221313631872733 is 337278136313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200659633731844 + 20653998140889 = 14165438^2 + 4544667^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313631872733 - 225 = 221313598318301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313631872433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656815936366 + 110656815936367.

It is an arithmetic number, because the mean of its divisors is an integer number (110656815936367).

Almost surely, 2221313631872733 is an apocalyptic number.

It is an amenable number.

221313631872733 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313631872733 is an equidigital number, since it uses as much as digits as its factorization.

221313631872733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 52.

The spelling of 221313631872733 in words is "two hundred twenty-one trillion, three hundred thirteen billion, six hundred thirty-one million, eight hundred seventy-two thousand, seven hundred thirty-three".