Search a number
-
+
113512780290 = 2357131731257307
BaseRepresentation
bin110100110110111100…
…0111001001000000010
3101211222220022201000210
41221231320321020002
53324433232432130
6124051432454550
711125644466260
oct1515570711002
9354886281023
10113512780290
1144160006a18
1219bbb24a456
13a9201bc720
1456cb94b430
152e456cb5b0
hex1a6de39202

113512780290 has 512 divisors, whose sum is σ = 369099472896. Its totient is φ = 21658337280.

The previous prime is 113512780253. The next prime is 113512780301. The reversal of 113512780290 is 92087215311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 255 ways as a sum of consecutive naturals, for example, 369748317 + ... + 369748623.

It is an arithmetic number, because the mean of its divisors is an integer number (720897408).

Almost surely, 2113512780290 is an apocalyptic number.

113512780290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113512780290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184549736448).

113512780290 is an abundant number, since it is smaller than the sum of its proper divisors (255586692606).

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

113512780290 is a wasteful number, since it uses less digits than its factorization.

113512780290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 113512780290 in words is "one hundred thirteen billion, five hundred twelve million, seven hundred eighty thousand, two hundred ninety".