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222123013297 is a prime number
BaseRepresentation
bin1100111011011110010…
…0000011010010110001
3210020100010122012111021
43032313210003102301
512114401442411142
6250013015015441
722022262314023
oct3166744032261
9706303565437
10222123013297
1186224717569
123707066a581
1317c3b7b17a3
14aa72324013
155ba07a1267
hex33b79034b1

222123013297 has 2 divisors, whose sum is σ = 222123013298. Its totient is φ = 222123013296.

The previous prime is 222123013267. The next prime is 222123013351. The reversal of 222123013297 is 792310321222.

222123013297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216819678321 + 5303334976 = 465639^2 + 72824^2 .

It is a cyclic number.

It is not a de Polignac number, because 222123013297 - 219 = 222122489009 is a prime.

It is a super-2 number, since 2×2221230132972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222123013267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061506648 + 111061506649.

It is an arithmetic number, because the mean of its divisors is an integer number (111061506649).

Almost surely, 2222123013297 is an apocalyptic number.

It is an amenable number.

222123013297 is a deficient number, since it is larger than the sum of its proper divisors (1).

222123013297 is an equidigital number, since it uses as much as digits as its factorization.

222123013297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 222123013297 in words is "two hundred twenty-two billion, one hundred twenty-three million, thirteen thousand, two hundred ninety-seven".