Search a number
-
+
20120113200 = 24352113374523
BaseRepresentation
bin10010101111010000…
…001001000000110000
31220221012112122120210
4102233100021000300
5312201222110300
613124255504120
71311411066105
oct225720110060
956835478523
1020120113200
118595308930
123a96228040
131b88541235
14d8c230aac
157cb595050
hex4af409030

20120113200 has 240 divisors, whose sum is σ = 70534878336. Its totient is φ = 4862054400.

The previous prime is 20120113157. The next prime is 20120113217. The reversal of 20120113200 is 231102102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4446139 + ... + 4450661.

Almost surely, 220120113200 is an apocalyptic number.

20120113200 is a gapful number since it is divisible by the number (20) 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 20120113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35267439168).

20120113200 is an abundant number, since it is smaller than the sum of its proper divisors (50414765136).

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

20120113200 is a wasteful number, since it uses less digits than its factorization.

20120113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20120113200 its reverse (231102102), we get a palindrome (20351215302).

The spelling of 20120113200 in words is "twenty billion, one hundred twenty million, one hundred thirteen thousand, two hundred".