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BaseRepresentation
bin10011010111110010…
…10110100010011000
3222211210200101222100
421223321112202120
5132244413144344
64435554523400
7515503441200
oct115371264230
928753611870
1010400131224
11445766a57a
122022b96560
13c99876702
1470935d400
1540d09a569
hex26be56898

10400131224 has 144 divisors (see below), whose sum is σ = 33823033920. Its totient is φ = 2875582080.

The previous prime is 10400131211. The next prime is 10400131229. The reversal of 10400131224 is 42213100401.

10400131224 is a `hidden beast` number, since 10 + 400 + 1 + 31 + 224 = 666.

10400131224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10400131197 and 10400131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400131229) 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 35 ways as a sum of consecutive naturals, for example, 61822 + ... + 156914.

It is an arithmetic number, because the mean of its divisors is an integer number (234882180).

Almost surely, 210400131224 is an apocalyptic number.

10400131224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911516960).

10400131224 is an abundant number, since it is smaller than the sum of its proper divisors (23422902696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400131224 is a wasteful number, since it uses less digits than its factorization.

10400131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95150 (or 95136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10400131224 its reverse (42213100401), we get a palindrome (52613231625).

The spelling of 10400131224 in words is "ten billion, four hundred million, one hundred thirty-one thousand, two hundred twenty-four".