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113135310 = 23251966161
BaseRepresentation
bin1101011111001…
…00111011001110
321212212212110200
412233210323032
5212430312220
615120514330
72542430361
oct657447316
9255785420
10113135310
1158953262
1231a7b9a6
131a592492
14110500d8
159deb890
hex6be4ece

113135310 has 48 divisors (see below), whose sum is σ = 309638160. Its totient is φ = 28581120.

The previous prime is 113135219. The next prime is 113135383. The reversal of 113135310 is 13531311.

113135310 is a `hidden beast` number, since 1 + 131 + 3 + 531 + 0 = 666.

It is a super-2 number, since 2×1131353102 = 25599196737592200, 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31371 + ... + 34790.

It is an arithmetic number, because the mean of its divisors is an integer number (6450795).

Almost surely, 2113135310 is an apocalyptic number.

113135310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113135310 is an abundant number, since it is smaller than the sum of its proper divisors (196502850).

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

113135310 is a wasteful number, since it uses less digits than its factorization.

113135310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66193 (or 66190 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 113135310 is about 10636.5083556588. The cubic root of 113135310 is about 483.6517056862.

Adding to 113135310 its reverse (13531311), we get a palindrome (126666621).

The spelling of 113135310 in words is "one hundred thirteen million, one hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 66161 132322 198483 330805 396966 595449 661610 992415 1190898 1257059 1984830 2514118 2977245 3771177 5954490 6285295 7542354 11313531 12570590 18855885 22627062 37711770 56567655 113135310