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223125245213369 is a prime number
BaseRepresentation
bin110010101110111001100100…
…111110110011101010111001
31002021000120020222022220020112
4302232321210332303222321
5213221141000233311434
62110314153402434105
764666160402341262
oct6256714476635271
91067016228286215
10223125245213369
1165104981072664
1221037201202935
13976680ab73505
143d15468973969
151abdeedd61dce
hexcaee64fb3ab9

223125245213369 has 2 divisors, whose sum is σ = 223125245213370. Its totient is φ = 223125245213368.

The previous prime is 223125245213291. The next prime is 223125245213407. The reversal of 223125245213369 is 963312542521322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222641612592400 + 483632620969 = 14921180^2 + 695437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223125245213369 is a prime.

It is a super-3 number, since 3×2231252452133693 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (223125245213869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111562622606684 + 111562622606685.

It is an arithmetic number, because the mean of its divisors is an integer number (111562622606685).

Almost surely, 2223125245213369 is an apocalyptic number.

It is an amenable number.

223125245213369 is a deficient number, since it is larger than the sum of its proper divisors (1).

223125245213369 is an equidigital number, since it uses as much as digits as its factorization.

223125245213369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4665600, while the sum is 50.

The spelling of 223125245213369 in words is "two hundred twenty-three trillion, one hundred twenty-five billion, two hundred forty-five million, two hundred thirteen thousand, three hundred sixty-nine".