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10121142029 is a prime number
BaseRepresentation
bin10010110110100010…
…00101111100001101
3222010100201021202012
421123101011330031
5131212003021104
64352151111005
7505545200465
oct113321057415
928110637665
1010121142029
114324136899
121b65672465
13c53b2414b
146c0298ba5
153e383bd6e
hex25b445f0d

10121142029 has 2 divisors, whose sum is σ = 10121142030. Its totient is φ = 10121142028.

The previous prime is 10121141999. The next prime is 10121142067. The reversal of 10121142029 is 92024112101.

10121142029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6500713129 + 3620428900 = 80627^2 + 60170^2 .

It is an emirp because it is prime and its reverse (92024112101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121142029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121141995 and 10121142013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121142089) 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, 5060571014 + 5060571015.

It is an arithmetic number, because the mean of its divisors is an integer number (5060571015).

Almost surely, 210121142029 is an apocalyptic number.

It is an amenable number.

10121142029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121142029 is an equidigital number, since it uses as much as digits as its factorization.

10121142029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10121142029 in words is "ten billion, one hundred twenty-one million, one hundred forty-two thousand, twenty-nine".