Search a number
-
+
12113458740 = 22335195920011
BaseRepresentation
bin10110100100000010…
…01011011000110100
31011021012121110111000
423102001023120310
5144302021134430
65322001243300
7606116462145
oct132201133064
934235543430
1012113458740
115156805929
122420933530
1311b080b286
1482cb13acc
154ad6d2e60
hex2d204b634

12113458740 has 192 divisors, whose sum is σ = 40344192000. Its totient is φ = 3008223360.

The previous prime is 12113458729. The next prime is 12113458771. The reversal of 12113458740 is 4785431121.

12113458740 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 34 + 587 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12113458695 and 12113458704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595335 + ... + 615345.

It is an arithmetic number, because the mean of its divisors is an integer number (210126000).

Almost surely, 212113458740 is an apocalyptic number.

12113458740 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 12113458740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172096000).

12113458740 is an abundant number, since it is smaller than the sum of its proper divisors (28230733260).

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

12113458740 is a wasteful number, since it uses less digits than its factorization.

12113458740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20107 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12113458740 its reverse (4785431121), we get a palindrome (16898889861).

The spelling of 12113458740 in words is "twelve billion, one hundred thirteen million, four hundred fifty-eight thousand, seven hundred forty".