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10400203411 = 13231012411429
BaseRepresentation
bin10011010111110011…
…01000001010010011
3222211210211001222221
421223321220022103
5132244423002121
64440000241511
7515504161513
oct115371501223
928753731887
1010400203411
114457709834
122023010297
13c998a0520
1470937b843
1540d0b1b41
hex26be68293

10400203411 has 32 divisors (see below), whose sum is σ = 11860168320. Its totient is φ = 9047808000.

The previous prime is 10400203379. The next prime is 10400203453. The reversal of 10400203411 is 11430200401.

10400203411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10400203411 - 25 = 10400203379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400203511) 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 in 31 ways as a sum of consecutive naturals, for example, 7277245 + ... + 7278673.

It is an arithmetic number, because the mean of its divisors is an integer number (370630260).

Almost surely, 210400203411 is an apocalyptic number.

10400203411 is a deficient number, since it is larger than the sum of its proper divisors (1459964909).

10400203411 is a wasteful number, since it uses less digits than its factorization.

10400203411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10400203411 its reverse (11430200401), we get a palindrome (21830403812).

The spelling of 10400203411 in words is "ten billion, four hundred million, two hundred three thousand, four hundred eleven".

Divisors: 1 13 23 101 241 299 1313 1429 2323 3133 5543 18577 24341 30199 32867 72059 144329 316433 344389 427271 559843 1876277 3319567 4477057 7277959 7920947 34783289 43154371 102972311 452182757 800015647 10400203411