Search a number
-
+
113570316288 = 2153211132693
BaseRepresentation
bin110100111000101010…
…0011000000000000000
3101212010220120211120200
41221301110120000000
53330043000110123
6124101250005200
711130243521562
oct1516124300000
9355126524520
10113570316288
114418a534630
121a016576800
13a92c0b5cb0
1456d5447332
152e4a794143
hex1a71518000

113570316288 has 384 divisors, whose sum is σ = 385588017360. Its totient is φ = 31756124160.

The previous prime is 113570316283. The next prime is 113570316289. The reversal of 113570316288 is 882613075311.

It is a happy number.

113570316288 is a `hidden beast` number, since 1 + 1 + 3 + 57 + 0 + 316 + 288 = 666.

113570316288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113570316283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42171070 + ... + 42173762.

Almost surely, 2113570316288 is an apocalyptic number.

113570316288 is a gapful number since it is divisible by the number (18) 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 113570316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192794008680).

113570316288 is an abundant number, since it is smaller than the sum of its proper divisors (272017701072).

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

113570316288 is a wasteful number, since it uses less digits than its factorization.

113570316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 113570316288 in words is "one hundred thirteen billion, five hundred seventy million, three hundred sixteen thousand, two hundred eighty-eight".