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22123103129 is a prime number
BaseRepresentation
bin10100100110101000…
…111100001110011001
32010002210112002012222
4110212220330032121
5330302003300004
614055130513425
71412142162641
oct244650741631
963083462188
1022123103129
119422a07906
124354b95875
1321174c448a
1410dc267521
158973487be
hex526a3c399

22123103129 has 2 divisors, whose sum is σ = 22123103130. Its totient is φ = 22123103128.

The previous prime is 22123103089. The next prime is 22123103137. The reversal of 22123103129 is 92130132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21893641225 + 229461904 = 147965^2 + 15148^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123103129 - 28 = 22123102873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22123103098 and 22123103107.

It is not a weakly prime, because it can be changed into another prime (22123103729) 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, 11061551564 + 11061551565.

It is an arithmetic number, because the mean of its divisors is an integer number (11061551565).

Almost surely, 222123103129 is an apocalyptic number.

It is an amenable number.

22123103129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123103129 is an equidigital number, since it uses as much as digits as its factorization.

22123103129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 22123103129 in words is "twenty-two billion, one hundred twenty-three million, one hundred three thousand, one hundred twenty-nine".