Search a number
-
+
113237907120 = 243351317237217
BaseRepresentation
bin110100101110110000…
…0010101011010110000
3101211021202002200221000
41221131200111122300
53323402401011440
6124004253202000
711116066220622
oct1513540253260
9354252080830
10113237907120
1144029934708
1219b43190300
13a8a827b790
1456a3238c12
152e2b4d2730
hex1a5d8156b0

113237907120 has 320 divisors, whose sum is σ = 444755283840. Its totient is φ = 26234191872.

The previous prime is 113237907119. The next prime is 113237907161. The reversal of 113237907120 is 21709732311.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358752 + ... + 595968.

It is an arithmetic number, because the mean of its divisors is an integer number (1389860262).

Almost surely, 2113237907120 is an apocalyptic number.

113237907120 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 113237907120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222377641920).

113237907120 is an abundant number, since it is smaller than the sum of its proper divisors (331517376720).

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

113237907120 is a wasteful number, since it uses less digits than its factorization.

113237907120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237269 (or 237257 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 113237907120 in words is "one hundred thirteen billion, two hundred thirty-seven million, nine hundred seven thousand, one hundred twenty".