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10400130132 = 2237641193153
BaseRepresentation
bin10011010111110010…
…10110010001010100
3222211210200100110220
421223321112101110
5132244413131012
64435554514340
7515503435050
oct115371262124
928753610426
1010400130132
114457669777
122022b959b0
13c99876072
1470935cc60
1540d09a08c
hex26be56454

10400130132 has 48 divisors (see below), whose sum is σ = 27777090432. Its totient is φ = 2966814720.

The previous prime is 10400130127. The next prime is 10400130161. The reversal of 10400130132 is 23103100401.

10400130132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42733 + ... + 150420.

It is an arithmetic number, because the mean of its divisors is an integer number (578689384).

Almost surely, 210400130132 is an apocalyptic number.

10400130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400130132 is an abundant number, since it is smaller than the sum of its proper divisors (17376960300).

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

10400130132 is a wasteful number, since it uses less digits than its factorization.

10400130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193808 (or 193806 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400130132 its reverse (23103100401), we get a palindrome (33503230533).

The spelling of 10400130132 in words is "ten billion, four hundred million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 641 1282 1923 2564 3846 4487 7692 8974 13461 17948 26922 53844 193153 386306 579459 772612 1158918 1352071 2317836 2704142 4056213 5408284 8112426 16224852 123811073 247622146 371433219 495244292 742866438 866677511 1485732876 1733355022 2600032533 3466710044 5200065066 10400130132