Search a number
-
+
221303000013133 is a prime number
BaseRepresentation
bin110010010100011000011110…
…101101000001100101001101
31002000120100201120111110210211
4302110120132231001211031
5213001312021000410013
62102401110020002421
764420420433610103
oct6224303655014515
91060510646443724
10221303000013133
1164572091171875
12209a2006b30411
139663a2505753c
143c9119da37c73
151a8b8eb3e323d
hexc9461eb4194d

221303000013133 has 2 divisors, whose sum is σ = 221303000013134. Its totient is φ = 221303000013132.

The previous prime is 221303000013131. The next prime is 221303000013163. The reversal of 221303000013133 is 331310000303122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196637741926564 + 24665258086569 = 14022758^2 + 4966413^2 .

It is a cyclic number.

It is not a de Polignac number, because 221303000013133 - 21 = 221303000013131 is a prime.

Together with 221303000013131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221303000013131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110651500006566 + 110651500006567.

It is an arithmetic number, because the mean of its divisors is an integer number (110651500006567).

Almost surely, 2221303000013133 is an apocalyptic number.

It is an amenable number.

221303000013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221303000013133 is an equidigital number, since it uses as much as digits as its factorization.

221303000013133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 221303000013133 its reverse (331310000303122), we get a palindrome (552613000316255).

The spelling of 221303000013133 in words is "two hundred twenty-one trillion, three hundred three billion, thirteen thousand, one hundred thirty-three".