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10400131224 = 2332723195093
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".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 95093 109368 190186 285279 380372 570558 665651 760744 855837 1141116 1331302 1711674 1996953 2282232 2662604 2947883 3423348 3993906 4659557 5325208 5895766 5990859 6846696 7987812 8843649 9319114 11791532 11981718 13978671 15975624 17687298 18638228 20635181 23583064 23963436 26530947 27957342 35374596 37276456 41270362 41936013 47926872 53061894 55914684 61905543 70749192 82540724 83872026 106123788 111829368 123811086 144446267 165081448 167744052 185716629 212247576 247622172 288892534 335488104 371433258 433338801 495244344 577785068 742866516 866677602 1155570136 1300016403 1485733032 1733355204 2600032806 3466710408 5200065612 10400131224