Search a number
-
+
10112232132 = 223529993469
BaseRepresentation
bin10010110101011110…
…00110101011000100
3222002201221121200000
421122233012223010
5131202212412012
64351232121300
7505406361222
oct113257065304
928081847600
1010112232132
11431a100742
121b62696230
13c52024812
146bd019b12
153e2b7bddc
hex25abc6ac4

10112232132 has 72 divisors (see below), whose sum is σ = 26524680000. Its totient is φ = 3368648736.

The previous prime is 10112232121. The next prime is 10112232139. The reversal of 10112232132 is 23123221101.

10112232132 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 not an unprimeable number, because it can be changed into a prime (10112232139) 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 23 ways as a sum of consecutive naturals, for example, 2913294 + ... + 2916762.

Almost surely, 210112232132 is an apocalyptic number.

10112232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112232132 is an abundant number, since it is smaller than the sum of its proper divisors (16412447868).

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

10112232132 is a wasteful number, since it uses less digits than its factorization.

10112232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112232132 its reverse (23123221101), we get a palindrome (33235453233).

The spelling of 10112232132 in words is "ten billion, one hundred twelve million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2999 3469 5998 6938 8997 10407 11996 13876 17994 20814 26991 31221 35988 41628 53982 62442 80973 93663 107964 124884 161946 187326 242919 280989 323892 374652 485838 561978 728757 842967 971676 1123956 1457514 1685934 2915028 3371868 10403531 20807062 31210593 41614124 62421186 93631779 124842372 187263558 280895337 374527116 561790674 842686011 1123581348 1685372022 2528058033 3370744044 5056116066 10112232132