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113303520 = 253251123311
BaseRepresentation
bin1101100000011…
…01111111100000
321220012102012200
412300031333200
5213001203040
615124253200
72544030651
oct660157740
9256172180
10113303520
1158a58680
1231b41200
131a620c05
1411095528
159e31630
hex6c0dfe0

113303520 has 288 divisors, whose sum is σ = 441552384. Its totient is φ = 26188800.

The previous prime is 113303507. The next prime is 113303527. The reversal of 113303520 is 25303311.

113303520 is a `hidden beast` number, since 113 + 30 + 3 + 520 = 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 = 113303493 and 113303502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113303527) 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, 364165 + ... + 364475.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2113303520 is an apocalyptic number.

113303520 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 113303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

113303520 is an abundant number, since it is smaller than the sum of its proper divisors (328248864).

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

113303520 is a wasteful number, since it uses less digits than its factorization.

113303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113303520 is about 10644.4126188344. The cubic root of 113303520 is about 483.8912853748.

Adding to 113303520 its reverse (25303311), we get a palindrome (138606831).

The spelling of 113303520 in words is "one hundred thirteen million, three hundred three thousand, five hundred twenty".