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223213231222193 is a prime number
BaseRepresentation
bin110010110000001011100001…
…010110110010110110110001
31002021022222100212112020212002
4302300023201112302312301
5213224111144143102233
62110422424240143345
765005423645151402
oct6260134126626661
91067288325466762
10223213231222193
1165139221960333
1221050277607b55
139771bc0660024
143d198141b39a9
151ac144d4b56e8
hexcb02e15b2db1

223213231222193 has 2 divisors, whose sum is σ = 223213231222194. Its totient is φ = 223213231222192.

The previous prime is 223213231222129. The next prime is 223213231222229. The reversal of 223213231222193 is 391222132312322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223185433329664 + 27797892529 = 14939392^2 + 166727^2 .

It is a cyclic number.

It is not a de Polignac number, because 223213231222193 - 26 = 223213231222129 is a prime.

It is a super-3 number, since 3×2232132312221933 (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 (223213231221193) 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, 111606615611096 + 111606615611097.

It is an arithmetic number, because the mean of its divisors is an integer number (111606615611097).

Almost surely, 2223213231222193 is an apocalyptic number.

It is an amenable number.

223213231222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

223213231222193 is an equidigital number, since it uses as much as digits as its factorization.

223213231222193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 38.

The spelling of 223213231222193 in words is "two hundred twenty-three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred ninety-three".