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113101120 = 26511223127
BaseRepresentation
bin1101011110111…
…00100101000000
321212211010120101
412233130211000
5212423213440
615120052144
72542225606
oct657344500
9255733511
10113101120
115892a600
1231a64054
131a57ca52
1411041876
159de169a
hex6bdc940

113101120 has 168 divisors, whose sum is σ = 311334912. Its totient is φ = 39029760.

The previous prime is 113101081. The next prime is 113101123. The reversal of 113101120 is 21101311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 113101097 and 113101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890497 + ... + 890623.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184).

Almost surely, 2113101120 is an apocalyptic number.

113101120 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 113101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

113101120 is an abundant number, since it is smaller than the sum of its proper divisors (198233792).

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

113101120 is a wasteful number, since it uses less digits than its factorization.

113101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 113101120 is about 10634.9010338602. The cubic root of 113101120 is about 483.6029802033.

Adding to 113101120 its reverse (21101311), we get a palindrome (134202431).

The spelling of 113101120 in words is "one hundred thirteen million, one hundred one thousand, one hundred twenty".