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223331431201 is a prime number
BaseRepresentation
bin1100111111111110010…
…1110011001100100001
3210100110100111012012221
43033333211303030201
512124340321244301
6250332543351041
722064234562214
oct3177745631441
9710410435187
10223331431201
118679485284a
12373492b2481
13180a1c62678
14ab48a0577b
155c21900da1
hex33ff973321

223331431201 has 2 divisors, whose sum is σ = 223331431202. Its totient is φ = 223331431200.

The previous prime is 223331431177. The next prime is 223331431223. The reversal of 223331431201 is 102134133322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221418243601 + 1913187600 = 470551^2 + 43740^2 .

It is a cyclic number.

It is not a de Polignac number, because 223331431201 - 29 = 223331430689 is a prime.

It is not a weakly prime, because it can be changed into another prime (223331431231) 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, 111665715600 + 111665715601.

It is an arithmetic number, because the mean of its divisors is an integer number (111665715601).

Almost surely, 2223331431201 is an apocalyptic number.

It is an amenable number.

223331431201 is a deficient number, since it is larger than the sum of its proper divisors (1).

223331431201 is an equidigital number, since it uses as much as digits as its factorization.

223331431201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223331431201 its reverse (102134133322), we get a palindrome (325465564523).

The spelling of 223331431201 in words is "two hundred twenty-three billion, three hundred thirty-one million, four hundred thirty-one thousand, two hundred one".