Search a number
-
+
10400424231 = 319182463583
BaseRepresentation
bin10011010111110100…
…11110000100100111
3222211211020021220110
421223322132010213
5132300002033411
64440005104103
7515506101351
oct115372360447
928754207813
1010400424231
11445784a72a
1220230b8033
13c99949ba2
147093d80d1
1540d1072a6
hex26be9e127

10400424231 has 8 divisors (see below), whose sum is σ = 14597086720. Its totient is φ = 6568688952.

The previous prime is 10400424191. The next prime is 10400424259. The reversal of 10400424231 is 13242400401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10400424231 - 226 = 10333315367 is a prime.

It is a super-2 number, since 2×104004242312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400424198 and 10400424207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400429231) 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 in 7 ways as a sum of consecutive naturals, for example, 91231735 + ... + 91231848.

It is an arithmetic number, because the mean of its divisors is an integer number (1824635840).

Almost surely, 210400424231 is an apocalyptic number.

10400424231 is a deficient number, since it is larger than the sum of its proper divisors (4196662489).

10400424231 is a wasteful number, since it uses less digits than its factorization.

10400424231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182463605.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400424231 its reverse (13242400401), we get a palindrome (23642824632).

The spelling of 10400424231 in words is "ten billion, four hundred million, four hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 19 57 182463583 547390749 3466808077 10400424231