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113135232 = 273742089
BaseRepresentation
bin1101011111001…
…00111010000000
321212212212100210
412233210322000
5212430311412
615120514120
72542430220
oct657447200
9255785323
10113135232
11589531a1
1231a7b940
131a592432
1411050080
159deb83c
hex6be4e80

113135232 has 64 divisors (see below), whose sum is σ = 343454400. Its totient is φ = 32323584.

The previous prime is 113135219. The next prime is 113135383. The reversal of 113135232 is 232531311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113135199 and 113135208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18357 + ... + 23732.

It is an arithmetic number, because the mean of its divisors is an integer number (5366475).

Almost surely, 2113135232 is an apocalyptic number.

113135232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113135232 is an abundant number, since it is smaller than the sum of its proper divisors (230319168).

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

113135232 is an equidigital number, since it uses as much as digits as its factorization.

113135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42113 (or 42101 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 113135232 is about 10636.5046890414. The cubic root of 113135232 is about 483.6515945366.

Adding to 113135232 its reverse (232531311), we get a palindrome (345666543).

It can be divided in two parts, 1131 and 35232, that added together give a palindrome (36363).

The spelling of 113135232 in words is "one hundred thirteen million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 42089 84178 126267 168356 252534 294623 336712 505068 589246 673424 883869 1010136 1178492 1346848 1767738 2020272 2356984 2693696 3535476 4040544 4713968 5387392 7070952 8081088 9427936 14141904 16162176 18855872 28283808 37711744 56567616 113135232