Search a number
-
+
113252317056 = 27321273372297
BaseRepresentation
bin110100101111001011…
…1010011011110000000
3101211022202012210122100
41221132113103132000
53323420043121211
6124005530110400
711116332545244
oct1513627233600
9354282183570
10113252317056
1144036a8704a
1219b47b7b400
13a8ab255678
1456a510a424
152e2c8cc156
hex1a5e5d3780

113252317056 has 192 divisors, whose sum is σ = 329579527680. Its totient is φ = 37326127104.

The previous prime is 113252317027. The next prime is 113252317067. The reversal of 113252317056 is 650713252311.

113252317056 is a `hidden beast` number, since 1 + 13 + 2 + 523 + 1 + 70 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113252317056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49303300 + ... + 49305596.

It is an arithmetic number, because the mean of its divisors is an integer number (1716560040).

Almost surely, 2113252317056 is an apocalyptic number.

113252317056 is a gapful number since it is divisible by the number (16) 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 113252317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164789763840).

113252317056 is an abundant number, since it is smaller than the sum of its proper divisors (216327210624).

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

113252317056 is a wasteful number, since it uses less digits than its factorization.

113252317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 113252317056 its reverse (650713252311), we get a palindrome (763965569367).

The spelling of 113252317056 in words is "one hundred thirteen billion, two hundred fifty-two million, three hundred seventeen thousand, fifty-six".