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113252310 = 23351014153
BaseRepresentation
bin1101100000000…
…01011111010110
321220002210222000
412300001133112
5212443033220
615123220130
72543425443
oct660013726
9256083860
10113252310
1158a23156
1231b17646
131a603802
14110809ca
159e21390
hex6c017d6

113252310 has 64 divisors (see below), whose sum is σ = 305069760. Its totient is φ = 29894400.

The previous prime is 113252303. The next prime is 113252323. The reversal of 113252310 is 13252311.

113252310 is a `hidden beast` number, since 1 + 132 + 523 + 10 = 666.

It is a super-2 number, since 2×1132523102 = 25652171440672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25194 + ... + 29346.

It is an arithmetic number, because the mean of its divisors is an integer number (4766715).

Almost surely, 2113252310 is an apocalyptic number.

113252310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113252310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534880).

113252310 is an abundant number, since it is smaller than the sum of its proper divisors (191817450).

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

113252310 is a wasteful number, since it uses less digits than its factorization.

113252310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4264 counting only the distinct ones).

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

The square root of 113252310 is about 10642.0068596106. The cubic root of 113252310 is about 483.8183726446.

Subtracting from 113252310 its reverse (13252311), we obtain a palindrome (99999999).

The spelling of 113252310 in words is "one hundred thirteen million, two hundred fifty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4153 4545 5454 8306 9090 12459 13635 20765 24918 27270 37377 41530 62295 74754 112131 124590 186885 224262 373770 419453 560655 838906 1121310 1258359 2097265 2516718 3775077 4194530 6291795 7550154 11325231 12583590 18875385 22650462 37750770 56626155 113252310