Search a number
-
+
221300311342421 is a prime number
BaseRepresentation
bin110010010100010101111110…
…011100100011110101010101
31002000120002210012021211222002
4302110111332130203311111
5213001241014200424141
62102355543132245045
764420264005361013
oct6224257634436525
91060502705254862
10221300311342421
1164570a31513763
12209a1596610785
1396636b700971c
143c90dc69138b3
151a8b7e0349e9b
hexc9457e723d55

221300311342421 has 2 divisors, whose sum is σ = 221300311342422. Its totient is φ = 221300311342420.

The previous prime is 221300311342391. The next prime is 221300311342423. The reversal of 221300311342421 is 124243113003122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183209381256196 + 38090930086225 = 13535486^2 + 6171785^2 .

It is a cyclic number.

It is not a de Polignac number, because 221300311342421 - 226 = 221300244233557 is a prime.

It is a super-2 number, since 2×2213003113424212 (a number of 29 digits) contains 22 as substring.

Together with 221300311342423, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221300311342423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650155671210 + 110650155671211.

It is an arithmetic number, because the mean of its divisors is an integer number (110650155671211).

Almost surely, 2221300311342421 is an apocalyptic number.

It is an amenable number.

221300311342421 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300311342421 is an equidigital number, since it uses as much as digits as its factorization.

221300311342421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 221300311342421 its reverse (124243113003122), we get a palindrome (345543424345543).

The spelling of 221300311342421 in words is "two hundred twenty-one trillion, three hundred billion, three hundred eleven million, three hundred forty-two thousand, four hundred twenty-one".