Search a number
-
+
10400130127 is a prime number
BaseRepresentation
bin10011010111110010…
…10110010001001111
3222211210200100110201
421223321112101033
5132244413131002
64435554514331
7515503435042
oct115371262117
928753610421
1010400130127
114457669772
122022b959a7
13c9987606a
1470935cc59
1540d09a087
hex26be5644f

10400130127 has 2 divisors, whose sum is σ = 10400130128. Its totient is φ = 10400130126.

The previous prime is 10400130121. The next prime is 10400130161. The reversal of 10400130127 is 72103100401.

10400130127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10400130127 - 215 = 10400097359 is a prime.

It is a super-2 number, since 2×104001301272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200065063 + 5200065064.

It is an arithmetic number, because the mean of its divisors is an integer number (5200065064).

Almost surely, 210400130127 is an apocalyptic number.

10400130127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400130127 is an equidigital number, since it uses as much as digits as its factorization.

10400130127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10400130127 its reverse (72103100401), we get a palindrome (82503230528).

The spelling of 10400130127 in words is "ten billion, four hundred million, one hundred thirty thousand, one hundred twenty-seven".