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22314042013 is a prime number
BaseRepresentation
bin10100110010000001…
…010100001010011101
32010121002210210010111
4110302001110022131
5331144343321023
614130111210021
71416651141034
oct246201241235
963532723114
1022314042013
11951077103a
1243a8b16911
132147c28373
14111976b71b
158a8eb300d
hex53205429d

22314042013 has 2 divisors, whose sum is σ = 22314042014. Its totient is φ = 22314042012.

The previous prime is 22314042011. The next prime is 22314042041. The reversal of 22314042013 is 31024041322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19473365209 + 2840676804 = 139547^2 + 53298^2 .

It is a cyclic number.

It is not a de Polignac number, because 22314042013 - 21 = 22314042011 is a prime.

It is a super-3 number, since 3×223140420133 (a number of 32 digits) contains 333 as substring.

Together with 22314042011, 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 (22314042011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11157021006 + 11157021007.

It is an arithmetic number, because the mean of its divisors is an integer number (11157021007).

Almost surely, 222314042013 is an apocalyptic number.

It is an amenable number.

22314042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22314042013 is an equidigital number, since it uses as much as digits as its factorization.

22314042013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22314042013 its reverse (31024041322), we get a palindrome (53338083335).

The spelling of 22314042013 in words is "twenty-two billion, three hundred fourteen million, forty-two thousand, thirteen".