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113022033120 = 25325235957839
BaseRepresentation
bin110100101000010100…
…0110101110011100000
3101210201200220011110200
41221100220311303200
53322432120024440
6123531022225200
711110535300433
oct1512050656340
9353650804420
10113022033120
1143a28a9a347
1219aa2a25200
13a872627099
1456826c381a
152e1758ec30
hex1a50a35ce0

113022033120 has 288 divisors, whose sum is σ = 409285094400. Its totient is φ = 28339694592.

The previous prime is 113022033101. The next prime is 113022033127. The reversal of 113022033120 is 21330220311.

113022033120 is a `hidden beast` number, since 1 + 130 + 220 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 113022033093 and 113022033102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022033127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925161 + ... + 1982999.

It is an arithmetic number, because the mean of its divisors is an integer number (1421128800).

Almost surely, 2113022033120 is an apocalyptic number.

113022033120 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 113022033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204642547200).

113022033120 is an abundant number, since it is smaller than the sum of its proper divisors (296263061280).

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

113022033120 is a wasteful number, since it uses less digits than its factorization.

113022033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57942 (or 57931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113022033120 its reverse (21330220311), we get a palindrome (134352253431).

The spelling of 113022033120 in words is "one hundred thirteen billion, twenty-two million, thirty-three thousand, one hundred twenty".