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223213231222129 is a prime number
BaseRepresentation
bin110010110000001011100001…
…010110110010110101110001
31002021022222100212112020202201
4302300023201112302311301
5213224111144143102004
62110422424240143201
765005423645151251
oct6260134126626561
91067288325466681
10223213231222129
1165139221960285
1221050277607b01
139771bc065cca5
143d198141b3961
151ac144d4b56a4
hexcb02e15b2d71

223213231222129 has 2 divisors, whose sum is σ = 223213231222130. Its totient is φ = 223213231222128.

The previous prime is 223213231222057. The next prime is 223213231222193. The reversal of 223213231222129 is 921222132312322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137647919199025 + 85565312023104 = 11732345^2 + 9250152^2 .

It is a cyclic number.

It is not a de Polignac number, because 223213231222129 - 247 = 82475742866801 is a prime.

It is a super-3 number, since 3×2232132312221293 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223213231222229) 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, 111606615611064 + 111606615611065.

It is an arithmetic number, because the mean of its divisors is an integer number (111606615611065).

Almost surely, 2223213231222129 is an apocalyptic number.

It is an amenable number.

223213231222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223213231222129 is an equidigital number, since it uses as much as digits as its factorization.

223213231222129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 37.

The spelling of 223213231222129 in words is "two hundred twenty-three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty-nine".