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223013086457957 is a prime number
BaseRepresentation
bin110010101101010001000111…
…110011000111000001100101
31002020121211202102211210011022
4302231101013303013001211
5213212321300113123312
62110150444135220525
764655110115552255
oct6255210763070145
91066554672753138
10223013086457957
1165071356403674
122101951b517745
139759075356153
143d0dc68bab965
151abb137498172
hexcad447cc7065

223013086457957 has 2 divisors, whose sum is σ = 223013086457958. Its totient is φ = 223013086457956.

The previous prime is 223013086457881. The next prime is 223013086457969. The reversal of 223013086457957 is 759754680310322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204545087309476 + 18467999148481 = 14301926^2 + 4297441^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013086457957 - 218 = 223013086195813 is a prime.

It is a super-2 number, since 2×2230130864579572 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223013086457957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223013086657957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506543228978 + 111506543228979.

It is an arithmetic number, because the mean of its divisors is an integer number (111506543228979).

It is a 1-persistent number, because it is pandigital, but 2⋅223013086457957 = 446026172915914 is not.

Almost surely, 2223013086457957 is an apocalyptic number.

It is an amenable number.

223013086457957 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013086457957 is an equidigital number, since it uses as much as digits as its factorization.

223013086457957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76204800, while the sum is 62.

The spelling of 223013086457957 in words is "two hundred twenty-three trillion, thirteen billion, eighty-six million, four hundred fifty-seven thousand, nine hundred fifty-seven".