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223333132301113 is a prime number
BaseRepresentation
bin110010110001111011001100…
…000001000111001100111001
31002021202102211222120011010211
4302301323030001013030321
5213233042223332113423
62110553454040311121
765020200133414222
oct6261731401071471
91067672758504124
10223333132301113
116518505a9a059a
122106b55a1724a1
1397802bb1c09c3
143d2154a32a249
151ac461992b10d
hexcb1ecc047339

223333132301113 has 2 divisors, whose sum is σ = 223333132301114. Its totient is φ = 223333132301112.

The previous prime is 223333132301087. The next prime is 223333132301141. The reversal of 223333132301113 is 311103231333322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197944302055824 + 25388830245289 = 14069268^2 + 5038733^2 .

It is a cyclic number.

It is not a de Polignac number, because 223333132301113 - 241 = 221134109045561 is a prime.

It is not a weakly prime, because it can be changed into another prime (223333132301413) 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, 111666566150556 + 111666566150557.

It is an arithmetic number, because the mean of its divisors is an integer number (111666566150557).

Almost surely, 2223333132301113 is an apocalyptic number.

It is an amenable number.

223333132301113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223333132301113 is an equidigital number, since it uses as much as digits as its factorization.

223333132301113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 223333132301113 its reverse (311103231333322), we get a palindrome (534436363634435).

The spelling of 223333132301113 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, one hundred thirty-two million, three hundred one thousand, one hundred thirteen".