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223122312231089 is a prime number
BaseRepresentation
bin110010101110110110110110…
…001010010111100010110001
31002021000021200120101221221012
4302232312312022113202301
5213221113443412343324
62110312550350440305
764666024616401445
oct6256666612274261
91067007616357835
10223122312231089
1165103706516667
1221036722b03095
13976646132523b
143d1526b214825
151abddcb60a20e
hexcaedb62978b1

223122312231089 has 2 divisors, whose sum is σ = 223122312231090. Its totient is φ = 223122312231088.

The previous prime is 223122312230981. The next prime is 223122312231103. The reversal of 223122312231089 is 980132213221322.

Together with previous prime (223122312230981) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193019894785600 + 30102417445489 = 13893160^2 + 5486567^2 .

It is a cyclic number.

It is not a de Polignac number, because 223122312231089 - 224 = 223122295453873 is a prime.

It is a super-3 number, since 3×2231223122310893 (a number of 44 digits) contains 333 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 (223122312231589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561156115544 + 111561156115545.

It is an arithmetic number, because the mean of its divisors is an integer number (111561156115545).

Almost surely, 2223122312231089 is an apocalyptic number.

It is an amenable number.

223122312231089 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122312231089 is an equidigital number, since it uses as much as digits as its factorization.

223122312231089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 223122312231089 in words is "two hundred twenty-three trillion, one hundred twenty-two billion, three hundred twelve million, two hundred thirty-one thousand, eighty-nine".