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113123003221 is a prime number
BaseRepresentation
bin110100101011010101…
…0000000101101010101
3101210222201212222102001
41221112222000231111
53323133442100341
6123545030315301
711113202443054
oct1512652005525
9353881788361
10113123003221
1143a7aa93708
1219b107b8b31
13a88a51a2c7
145691c8839b
152e21386d31
hex1a56a80b55

113123003221 has 2 divisors, whose sum is σ = 113123003222. Its totient is φ = 113123003220.

The previous prime is 113123003197. The next prime is 113123003233. The reversal of 113123003221 is 122300321311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109305616996 + 3817386225 = 330614^2 + 61785^2 .

It is a cyclic number.

It is not a de Polignac number, because 113123003221 - 27 = 113123003093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113123003921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56561501610 + 56561501611.

It is an arithmetic number, because the mean of its divisors is an integer number (56561501611).

Almost surely, 2113123003221 is an apocalyptic number.

It is an amenable number.

113123003221 is a deficient number, since it is larger than the sum of its proper divisors (1).

113123003221 is an equidigital number, since it uses as much as digits as its factorization.

113123003221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 113123003221 its reverse (122300321311), we get a palindrome (235423324532).

The spelling of 113123003221 in words is "one hundred thirteen billion, one hundred twenty-three million, three thousand, two hundred twenty-one".