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113121120 = 25357131257
BaseRepresentation
bin1101011111000…
…01011101100000
321212212011000010
412233201131200
5212424333440
615120324520
72542341120
oct657413540
9255764003
10113121120
1158943632
1231a73740
131a588b98
1411048c80
159de7580
hex6be1760

113121120 has 192 divisors, whose sum is σ = 411941376. Its totient is φ = 25559040.

The previous prime is 113121103. The next prime is 113121121. The reversal of 113121120 is 21121311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113121096 and 113121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440032 + ... + 440288.

It is an arithmetic number, because the mean of its divisors is an integer number (2145528).

Almost surely, 2113121120 is an apocalyptic number.

113121120 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 113121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205970688).

113121120 is an abundant number, since it is smaller than the sum of its proper divisors (298820256).

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

113121120 is a wasteful number, since it uses less digits than its factorization.

113121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 113121120 is about 10635.8412925353. The cubic root of 113121120 is about 483.6314841637.

Adding to 113121120 its reverse (21121311), we get a palindrome (134242431).

The spelling of 113121120 in words is "one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".