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10400111413 is a prime number
BaseRepresentation
bin10011010111110010…
…10001101100110101
3222211210122101210121
421223321101230311
5132244412031123
64435554251541
7515503326346
oct115371215465
928753571717
1010400111413
1144576566aa
122022b86bb1
13c9986a6a3
147093560cd
1540d09475d
hex26be51b35

10400111413 has 2 divisors, whose sum is σ = 10400111414. Its totient is φ = 10400111412.

The previous prime is 10400111383. The next prime is 10400111417. The reversal of 10400111413 is 31411100401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6286428369 + 4113683044 = 79287^2 + 64138^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400111413 - 229 = 9863240501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400111417) 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, 5200055706 + 5200055707.

It is an arithmetic number, because the mean of its divisors is an integer number (5200055707).

Almost surely, 210400111413 is an apocalyptic number.

It is an amenable number.

10400111413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400111413 is an equidigital number, since it uses as much as digits as its factorization.

10400111413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10400111413 its reverse (31411100401), we get a palindrome (41811211814).

The spelling of 10400111413 in words is "ten billion, four hundred million, one hundred eleven thousand, four hundred thirteen".