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10123442129 is a prime number
BaseRepresentation
bin10010110110110011…
…10111011111010001
3222010112001010220002
421123121313133101
5131213100122004
64352312255345
7505603560353
oct113331673721
928115033802
1010123442129
1143254679a9
121b663a1555
13c5444b058
146c06d70d3
153e3b4361e
hex25b6777d1

10123442129 has 2 divisors, whose sum is σ = 10123442130. Its totient is φ = 10123442128.

The previous prime is 10123442071. The next prime is 10123442167. The reversal of 10123442129 is 92124432101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8958243904 + 1165198225 = 94648^2 + 34135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123442129 - 28 = 10123441873 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123442729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061721064 + 5061721065.

It is an arithmetic number, because the mean of its divisors is an integer number (5061721065).

Almost surely, 210123442129 is an apocalyptic number.

It is an amenable number.

10123442129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123442129 is an equidigital number, since it uses as much as digits as its factorization.

10123442129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 10123442129 in words is "ten billion, one hundred twenty-three million, four hundred forty-two thousand, one hundred twenty-nine".