Search a number
-
+
10400043401 = 1131791492591
BaseRepresentation
bin10011010111110010…
…00001000110001001
3222211210111221111122
421223321001012021
5132244402342101
64435553005025
7515502624146
oct115371010611
928753457448
1010400043401
11445760a5a0
122022b53775
13c99845747
147093393cd
1540d07e51b
hex26be41189

10400043401 has 32 divisors (see below), whose sum is σ = 11943936000. Its totient is φ = 8969688000.

The previous prime is 10400043397. The next prime is 10400043461. The reversal of 10400043401 is 10434000401.

It is a cyclic number.

It is not a de Polignac number, because 10400043401 - 22 = 10400043397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400043401.

It is not an unprimeable number, because it can be changed into a prime (10400043461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4012616 + ... + 4015206.

It is an arithmetic number, because the mean of its divisors is an integer number (373248000).

Almost surely, 210400043401 is an apocalyptic number.

10400043401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400043401 is a deficient number, since it is larger than the sum of its proper divisors (1543892599).

10400043401 is a wasteful number, since it uses less digits than its factorization.

10400043401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10400043401 its reverse (10434000401), we get a palindrome (20834043802).

The spelling of 10400043401 in words is "ten billion, four hundred million, forty-three thousand, four hundred one".

Divisors: 1 11 31 79 149 341 869 1639 2449 2591 4619 11771 26939 28501 50809 80321 129481 204689 364901 386059 883531 2251579 4013911 4246649 6345359 11967829 30498661 69798949 131646119 335485271 945458491 10400043401