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113033688 = 233311391093
BaseRepresentation
bin1101011110011…
…00000111011000
321212200201001220
412233030013120
5212414034223
615114412040
72541525165
oct657140730
9255621056
10113033688
1158893979
1231a31020
131a558151
141102506c
159dcb6e3
hex6bcc1d8

113033688 has 64 divisors (see below), whose sum is σ = 294067200. Its totient is φ = 36167040.

The previous prime is 113033653. The next prime is 113033689. The reversal of 113033688 is 886330311.

It is a happy number.

It is a super-2 number, since 2×1130336882 = 25553229245762688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113033689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102870 + ... + 103962.

It is an arithmetic number, because the mean of its divisors is an integer number (4594800).

Almost surely, 2113033688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113033688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147033600).

113033688 is an abundant number, since it is smaller than the sum of its proper divisors (181033512).

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

113033688 is a wasteful number, since it uses less digits than its factorization.

113033688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 113033688 is about 10631.7302448849. The cubic root of 113033688 is about 483.5068514789.

Adding to 113033688 its reverse (886330311), we get a palindrome (999363999).

The spelling of 113033688 in words is "one hundred thirteen million, thirty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 139 186 248 278 372 417 556 744 834 1093 1112 1668 2186 3279 3336 4309 4372 6558 8618 8744 12927 13116 17236 25854 26232 33883 34472 51708 67766 101649 103416 135532 151927 203298 271064 303854 406596 455781 607708 813192 911562 1215416 1823124 3646248 4709737 9419474 14129211 18838948 28258422 37677896 56516844 113033688