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113441220000 = 253254630229
BaseRepresentation
bin110100110100110011…
…1111010010110100000
3101211210220200001202200
41221221213322112200
53324311423020000
6124040355013200
711124115313553
oct1515147722640
9354726601680
10113441220000
114412367a689
1219b9b29a200
13a90b425964
1456c224069a
152e3e293500
hex1a699fa5a0

113441220000 has 180 divisors, whose sum is σ = 403119686970. Its totient is φ = 30250944000.

The previous prime is 113441219971. The next prime is 113441220007. The reversal of 113441220000 is 22144311.

113441220000 is a `hidden beast` number, since 1 + 1 + 3 + 441 + 220 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 3755728656 + 109685491344 = 61284^2 + 331188^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113441220007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 135115 + ... + 495114.

Almost surely, 2113441220000 is an apocalyptic number.

113441220000 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 113441220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201559843485).

113441220000 is an abundant number, since it is smaller than the sum of its proper divisors (289678466970).

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

113441220000 is an equidigital number, since it uses as much as digits as its factorization.

113441220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630265 (or 630239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113441220000 its reverse (22144311), we get a palindrome (113463364311).

The spelling of 113441220000 in words is "one hundred thirteen billion, four hundred forty-one million, two hundred twenty thousand".