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10400130121 is a prime number
BaseRepresentation
bin10011010111110010…
…10110010001001001
3222211210200100110111
421223321112101021
5132244413130441
64435554514321
7515503435033
oct115371262111
928753610414
1010400130121
114457669767
122022b959a1
13c99876064
1470935cc53
1540d09a081
hex26be56449

10400130121 has 2 divisors, whose sum is σ = 10400130122. Its totient is φ = 10400130120.

The previous prime is 10400130101. The next prime is 10400130127. The reversal of 10400130121 is 12103100401.

10400130121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10335568896 + 64561225 = 101664^2 + 8035^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400130121 - 29 = 10400129609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10400130127) 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, 5200065060 + 5200065061.

It is an arithmetic number, because the mean of its divisors is an integer number (5200065061).

Almost surely, 210400130121 is an apocalyptic number.

It is an amenable number.

10400130121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400130121 is an equidigital number, since it uses as much as digits as its factorization.

10400130121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10400130121 its reverse (12103100401), we get a palindrome (22503230522).

The spelling of 10400130121 in words is "ten billion, four hundred million, one hundred thirty thousand, one hundred twenty-one".