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225701961013 is a prime number
BaseRepresentation
bin1101001000110011100…
…0101001110100110101
3210120120120001120210101
43102030320221310311
512144214200223023
6251404104154101
722210051004644
oct3221470516465
9716516046711
10225701961013
11877a09669a1
12378ab168931
131838c100529
14acd179335b
155d0eaa51ad
hex348ce29d35

225701961013 has 2 divisors, whose sum is σ = 225701961014. Its totient is φ = 225701961012.

The previous prime is 225701960977. The next prime is 225701961019. The reversal of 225701961013 is 310169107522.

225701961013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128434074129 + 97267886884 = 358377^2 + 311878^2 .

It is a cyclic number.

It is not a de Polignac number, because 225701961013 - 225 = 225668406581 is a prime.

It is a super-2 number, since 2×2257019610132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225701961019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112850980506 + 112850980507.

It is an arithmetic number, because the mean of its divisors is an integer number (112850980507).

Almost surely, 2225701961013 is an apocalyptic number.

It is an amenable number.

225701961013 is a deficient number, since it is larger than the sum of its proper divisors (1).

225701961013 is an equidigital number, since it uses as much as digits as its factorization.

225701961013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 225701961013 in words is "two hundred twenty-five billion, seven hundred one million, nine hundred sixty-one thousand, thirteen".