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221318013149 is a prime number
BaseRepresentation
bin1100111000011110010…
…1001110000011011101
3210011021000212221212222
43032013211032003131
512111224402410044
6245401101035125
721663316033562
oct3160745160335
9704230787788
10221318013149
1185951280a92
1236a86b55aa5
1317b40a9aa3c
14a9d7456869
155b54c8c8ee
hex338794e0dd

221318013149 has 2 divisors, whose sum is σ = 221318013150. Its totient is φ = 221318013148.

The previous prime is 221318013143. The next prime is 221318013181. The reversal of 221318013149 is 941310813122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212745105049 + 8572908100 = 461243^2 + 92590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221318013149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221318013143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110659006574 + 110659006575.

It is an arithmetic number, because the mean of its divisors is an integer number (110659006575).

Almost surely, 2221318013149 is an apocalyptic number.

It is an amenable number.

221318013149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221318013149 is an equidigital number, since it uses as much as digits as its factorization.

221318013149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 221318013149 in words is "two hundred twenty-one billion, three hundred eighteen million, thirteen thousand, one hundred forty-nine".