Search a number
-
+
12113433000 = 23325323139421
BaseRepresentation
bin10110100100000010…
…00101000110101000
31011021012120011011200
423102001011012220
5144302014324000
65322000524200
7606116324124
oct132201050650
934235504150
1012113433000
115156798559
122420920660
1311b07cc646
1482cb08584
154ad6ca500
hex2d20451a8

12113433000 has 384 divisors, whose sum is σ = 43133126400. Its totient is φ = 3060288000.

The previous prime is 12113432987. The next prime is 12113433019. The reversal of 12113433000 is 33431121.

12113433000 is a `hidden beast` number, since 1 + 21 + 1 + 343 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28772790 + ... + 28773210.

It is an arithmetic number, because the mean of its divisors is an integer number (112325850).

Almost surely, 212113433000 is an apocalyptic number.

12113433000 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 12113433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566563200).

12113433000 is an abundant number, since it is smaller than the sum of its proper divisors (31019693400).

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

12113433000 is a wasteful number, since it uses less digits than its factorization.

12113433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12113433000 its reverse (33431121), we get a palindrome (12146864121).

The spelling of 12113433000 in words is "twelve billion, one hundred thirteen million, four hundred thirty-three thousand".