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12113103132 = 22321361342223
BaseRepresentation
bin10110100011111111…
…10100100100011100
31011021011221101200100
423101333310210130
5144301423300012
65321545501100
7606113451324
oct132177644434
934234841610
1012113103132
115156592739
1224207a1790
1311b0715460
1482ca60284
154ad6628dc
hex2d1ff491c

12113103132 has 72 divisors (see below), whose sum is σ = 33029132864. Its totient is φ = 3720940416.

The previous prime is 12113103127. The next prime is 12113103169. The reversal of 12113103132 is 23130131121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265773 + ... + 307995.

Almost surely, 212113103132 is an apocalyptic number.

12113103132 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 12113103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514566432).

12113103132 is an abundant number, since it is smaller than the sum of its proper divisors (20916029732).

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

12113103132 is a wasteful number, since it uses less digits than its factorization.

12113103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42859 (or 42854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12113103132 its reverse (23130131121), we get a palindrome (35243234253).

The spelling of 12113103132 in words is "twelve billion, one hundred thirteen million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 613 1226 1839 2452 3678 5517 7356 7969 11034 15938 22068 23907 31876 42223 47814 71721 84446 95628 126669 143442 168892 253338 286884 380007 506676 548899 760014 1097798 1520028 1646697 2195596 3293394 4940091 6586788 9880182 19760364 25882699 51765398 77648097 103530796 155296194 232944291 310592388 336475087 465888582 672950174 931777164 1009425261 1345900348 2018850522 3028275783 4037701044 6056551566 12113103132