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22123010993 is a prime number
BaseRepresentation
bin10100100110101000…
…100101101110110001
32010002210100101211112
4110212220211232301
5330301442322433
614055124523105
71412141330216
oct244650455661
963083311745
1022123010993
119422954666
124354b50495
132117491565
1410dc241b0d
1589732b348
hex526a25bb1

22123010993 has 2 divisors, whose sum is σ = 22123010994. Its totient is φ = 22123010992.

The previous prime is 22123010977. The next prime is 22123011011. The reversal of 22123010993 is 39901032122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20976308224 + 1146702769 = 144832^2 + 33863^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123010993 - 24 = 22123010977 is a prime.

It is not a weakly prime, because it can be changed into another prime (22123010293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061505496 + 11061505497.

It is an arithmetic number, because the mean of its divisors is an integer number (11061505497).

Almost surely, 222123010993 is an apocalyptic number.

It is an amenable number.

22123010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123010993 is an equidigital number, since it uses as much as digits as its factorization.

22123010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 22123010993 in words is "twenty-two billion, one hundred twenty-three million, ten thousand, nine hundred ninety-three".