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113042520 = 233351747131
BaseRepresentation
bin1101011110011…
…10010001011000
321212201011012000
412233032101120
5212414330040
615114521000
72541563013
oct657162130
9255634160
10113042520
115889a578
1231a36160
131a55c186
141102837a
159dce130
hex6bce458

113042520 has 256 divisors, whose sum is σ = 410572800. Its totient is φ = 27555840.

The previous prime is 113042509. The next prime is 113042521. The reversal of 113042520 is 25240311.

It is a super-3 number, since 3×1130425203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 113042493 and 113042502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113042521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862855 + ... + 862985.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2113042520 is an apocalyptic number.

113042520 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 113042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

113042520 is an abundant number, since it is smaller than the sum of its proper divisors (297530280).

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

113042520 is a wasteful number, since it uses less digits than its factorization.

113042520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113042520 is about 10632.1455971972. The cubic root of 113042520 is about 483.5194442477.

Adding to 113042520 its reverse (25240311), we get a palindrome (138282831).

It can be divided in two parts, 11304 and 2520, that added together give a cube (13824 = 243).

The spelling of 113042520 in words is "one hundred thirteen million, forty-two thousand, five hundred twenty".