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20012138129 is a prime number
BaseRepresentation
bin10010101000110100…
…001111111010010001
31220122200100221122002
4102220310033322101
5311441101410004
613105441323345
71305630240014
oct225064177221
956580327562
1020012138129
11853a36a635
123a66036555
131b6c067769
14d7bb6537b
157c1d6761e
hex4a8d0fe91

20012138129 has 2 divisors, whose sum is σ = 20012138130. Its totient is φ = 20012138128.

The previous prime is 20012138099. The next prime is 20012138177. The reversal of 20012138129 is 92183121002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18074113600 + 1938024529 = 134440^2 + 44023^2 .

It is a cyclic number.

It is not a de Polignac number, because 20012138129 - 212 = 20012134033 is a prime.

It is not a weakly prime, because it can be changed into another prime (20012138329) 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, 10006069064 + 10006069065.

It is an arithmetic number, because the mean of its divisors is an integer number (10006069065).

Almost surely, 220012138129 is an apocalyptic number.

It is an amenable number.

20012138129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20012138129 is an equidigital number, since it uses as much as digits as its factorization.

20012138129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 20012138129 in words is "twenty billion, twelve million, one hundred thirty-eight thousand, one hundred twenty-nine".