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12113431000 = 235311319479
BaseRepresentation
bin10110100100000010…
…00100100111011000
31011021012120001102121
423102001010213120
5144302014243000
65322000511024
7606116315236
oct132201044730
934235501377
1012113431000
115156797000
12242091b474
1311b07cb768
1482cb07956
154ad6c9b1a
hex2d20449d8

12113431000 has 256 divisors, whose sum is σ = 32887296000. Its totient is φ = 4164336000.

The previous prime is 12113430997. The next prime is 12113431013. The reversal of 12113431000 is 13431121.

It is a super-2 number, since 2×121134310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25288761 + ... + 25289239.

It is an arithmetic number, because the mean of its divisors is an integer number (128466000).

Almost surely, 212113431000 is an apocalyptic number.

12113431000 is a gapful number since it is divisible by the number (10) 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 12113431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443648000).

12113431000 is an abundant number, since it is smaller than the sum of its proper divisors (20773865000).

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

12113431000 is a wasteful number, since it uses less digits than its factorization.

12113431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12113431000 its reverse (13431121), we get a palindrome (12126862121).

The spelling of 12113431000 in words is "twelve billion, one hundred thirteen million, four hundred thirty-one thousand".