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10400130012 = 2231939074951
BaseRepresentation
bin10011010111110010…
…10110001111011100
3222211210200100022110
421223321112033130
5132244413130022
64435554514020
7515503434516
oct115371261734
928753610273
1010400130012
114457669678
122022b95910
13c99875cac
1470935cbb6
1540d09a00c
hex26be563dc

10400130012 has 48 divisors (see below), whose sum is σ = 24424531712. Its totient is φ = 3444249600.

The previous prime is 10400129947. The next prime is 10400130023. The reversal of 10400130012 is 21003100401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10400130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2098137 + ... + 2103087.

Almost surely, 210400130012 is an apocalyptic number.

10400130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400130012 is an abundant number, since it is smaller than the sum of its proper divisors (14024401700).

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

10400130012 is a wasteful number, since it uses less digits than its factorization.

10400130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10400130012 its reverse (21003100401), we get a palindrome (31403230413).

The spelling of 10400130012 in words is "ten billion, four hundred million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 193 386 579 772 907 1158 1814 2316 2721 3628 4951 5442 9902 10884 14853 19804 29706 59412 175051 350102 525153 700204 955543 1050306 1911086 2100612 2866629 3822172 4490557 5733258 8981114 11466516 13471671 17962228 26943342 53886684 866677501 1733355002 2600032503 3466710004 5200065006 10400130012