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113035104 = 253271319227
BaseRepresentation
bin1101011110011…
…00011101100000
321212200210000100
412233030131200
5212414110404
615114422400
72541532260
oct657143540
9255623010
10113035104
1158894a46
1231a31a00
131a5589a0
14110257a0
159dcbd39
hex6bcc760

113035104 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 28118016.

The previous prime is 113035103. The next prime is 113035129. The reversal of 113035104 is 401530311.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (113035103) 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, 497839 + ... + 498065.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2113035104 is an apocalyptic number.

113035104 is a gapful number since it is divisible by the number (14) 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 113035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

113035104 is an abundant number, since it is smaller than the sum of its proper divisors (305244576).

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

113035104 is a wasteful number, since it uses less digits than its factorization.

113035104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113035104 is about 10631.7968377881. The cubic root of 113035104 is about 483.5088704724.

Adding to 113035104 its reverse (401530311), we get a palindrome (514565415).

The spelling of 113035104 in words is "one hundred thirteen million, thirty-five thousand, one hundred four".