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113100202320 = 24357417383271
BaseRepresentation
bin110100101010101001…
…1000010000101010000
3101210221010222120110020
41221111103002011100
53323112122433240
6123542453503440
711112504600120
oct1512523020520
9353833876406
10113100202320
1143a6912aa96
1219b05041b80
13a885896051
14568cc30c80
152e1e3810d0
hex1a554c2150

113100202320 has 640 divisors, whose sum is σ = 422660947968. Its totient is φ = 24485068800.

The previous prime is 113100202291. The next prime is 113100202363. The reversal of 113100202320 is 23202001311.

113100202320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113100202320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417343785 + ... + 417344055.

Almost surely, 2113100202320 is an apocalyptic number.

113100202320 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 113100202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211330473984).

113100202320 is an abundant number, since it is smaller than the sum of its proper divisors (309560745648).

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

113100202320 is a wasteful number, since it uses less digits than its factorization.

113100202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113100202320 its reverse (23202001311), we get a palindrome (136302203631).

The spelling of 113100202320 in words is "one hundred thirteen billion, one hundred million, two hundred two thousand, three hundred twenty".