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223013000133089 is a prime number
BaseRepresentation
bin110010101101010001000010…
…101001110011100111100001
31002020121211112102102000200222
4302231101002221303213201
5213212321111013224324
62110150431413052425
764655105020034255
oct6255210251634741
91066554472360628
10223013000133089
1165071311702501
12210194b6627115
1397590604bcc4a
143d0dc5b53a265
151abb12eae555e
hexcad442a739e1

223013000133089 has 2 divisors, whose sum is σ = 223013000133090. Its totient is φ = 223013000133088.

The previous prime is 223013000133059. The next prime is 223013000133107. The reversal of 223013000133089 is 980331000310322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180858924624400 + 42154075508689 = 13448380^2 + 6492617^2 .

It is a cyclic number.

It is not a de Polignac number, because 223013000133089 - 212 = 223013000128993 is a prime.

It is a super-2 number, since 2×2230130001330892 (a number of 29 digits) contains 22 as substring.

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 (223013000133059) 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, 111506500066544 + 111506500066545.

It is an arithmetic number, because the mean of its divisors is an integer number (111506500066545).

Almost surely, 2223013000133089 is an apocalyptic number.

It is an amenable number.

223013000133089 is a deficient number, since it is larger than the sum of its proper divisors (1).

223013000133089 is an equidigital number, since it uses as much as digits as its factorization.

223013000133089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 223013000133089 in words is "two hundred twenty-three trillion, thirteen billion, one hundred thirty-three thousand, eighty-nine".