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22123010113 is a prime number
BaseRepresentation
bin10100100110101000…
…100101100001000001
32010002210100100121221
4110212220211201001
5330301442310423
614055124515041
71412141324521
oct244650454101
963083310557
1022123010113
119422953a36
124354b4ba81
132117491039
1410dc241681
1589732ae5d
hex526a25841

22123010113 has 2 divisors, whose sum is σ = 22123010114. Its totient is φ = 22123010112.

The previous prime is 22123010089. The next prime is 22123010123. The reversal of 22123010113 is 31101032122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15743473729 + 6379536384 = 125473^2 + 79872^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123010113 - 25 = 22123010081 is a prime.

It is not a weakly prime, because it can be changed into another prime (22123010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061505056 + 11061505057.

It is an arithmetic number, because the mean of its divisors is an integer number (11061505057).

Almost surely, 222123010113 is an apocalyptic number.

It is an amenable number.

22123010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123010113 is an equidigital number, since it uses as much as digits as its factorization.

22123010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22123010113 its reverse (31101032122), we get a palindrome (53224042235).

The spelling of 22123010113 in words is "twenty-two billion, one hundred twenty-three million, ten thousand, one hundred thirteen".