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113011332 = 22371817433
BaseRepresentation
bin1101011110001…
…10101010000100
321212122120101220
412233012222010
5212412330312
615114120340
72541403050
oct657065204
9255576356
10113011332
11588790a5
1231a200b0
131a54ac15
141101ac60
159dc4c8c
hex6bc6a84

113011332 has 48 divisors (see below), whose sum is σ = 303069312. Its totient is φ = 32106240.

The previous prime is 113011313. The next prime is 113011361. The reversal of 113011332 is 233110311.

It is a super-2 number, since 2×1130113322 = 25543122320828448, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11488 + ... + 18920.

It is an arithmetic number, because the mean of its divisors is an integer number (6313944).

Almost surely, 2113011332 is an apocalyptic number.

113011332 is a gapful number since it is divisible by the number (12) 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 113011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151534656).

113011332 is an abundant number, since it is smaller than the sum of its proper divisors (190057980).

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

113011332 is a wasteful number, since it uses less digits than its factorization.

113011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113011332 is about 10630.6788118163. The cubic root of 113011332 is about 483.4749731010.

Adding to 113011332 its reverse (233110311), we get a palindrome (346121643).

The spelling of 113011332 in words is "one hundred thirteen million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 7433 7602 14866 15204 22299 29732 44598 52031 89196 104062 156093 208124 312186 624372 1345373 2690746 4036119 5381492 8072238 9417611 16144476 18835222 28252833 37670444 56505666 113011332