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11430132012 = 223213103123689
BaseRepresentation
bin10101010010100100…
…11111100100101100
31002111120210212102200
422221102133210230
5141402103211022
65130111221500
7553151343015
oct125122374454
932446725380
1011430132012
1149360143a2
12226bb17890
131102089030
147a607a00c
1546d705bac
hex2a949f92c

11430132012 has 72 divisors (see below), whose sum is σ = 31146853920. Its totient is φ = 3513404160.

The previous prime is 11430132011. The next prime is 11430132017. The reversal of 11430132012 is 21023103411.

11430132012 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 (11430132011) 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, 470664 + ... + 494352.

Almost surely, 211430132012 is an apocalyptic number.

11430132012 is a gapful number since it is divisible by the number (12) 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 11430132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573426960).

11430132012 is an abundant number, since it is smaller than the sum of its proper divisors (19716721908).

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

11430132012 is a wasteful number, since it uses less digits than its factorization.

11430132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24743 (or 24738 counting only the distinct ones).

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

Adding to 11430132012 its reverse (21023103411), we get a palindrome (32453235423).

The spelling of 11430132012 in words is "eleven billion, four hundred thirty million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1031 2062 3093 4124 6186 9279 12372 13403 18558 23689 26806 37116 40209 47378 53612 71067 80418 94756 120627 142134 160836 213201 241254 284268 307957 426402 482508 615914 852804 923871 1231828 1847742 2771613 3695484 5543226 11086452 24423359 48846718 73270077 97693436 146540154 219810231 293080308 317503667 439620462 635007334 879240924 952511001 1270014668 1905022002 2857533003 3810044004 5715066006 11430132012