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113436312 = 23311429683
BaseRepresentation
bin1101100001011…
…10011010011000
321220110011100220
412300232122120
5213014430222
615131200040
72545123053
oct660563230
9256404326
10113436312
1159039420
1231ba6020
131a6694a2
14110cba9a
159e5ab5c
hex6c2e698

113436312 has 32 divisors (see below), whose sum is σ = 309372480. Its totient is φ = 34374560.

The previous prime is 113436311. The next prime is 113436353. The reversal of 113436312 is 213634311.

It is a happy number.

It is a super-2 number, since 2×1134363122 = 25735593760322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113436311) by changing a digit.

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, 214578 + ... + 215105.

It is an arithmetic number, because the mean of its divisors is an integer number (9667890).

Almost surely, 2113436312 is an apocalyptic number.

113436312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113436312 is an abundant number, since it is smaller than the sum of its proper divisors (195936168).

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

113436312 is a wasteful number, since it uses less digits than its factorization.

113436312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429703 (or 429699 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 113436312 is about 10650.6484309642. The cubic root of 113436312 is about 484.0802521572.

The spelling of 113436312 in words is "one hundred thirteen million, four hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 429683 859366 1289049 1718732 2578098 3437464 4726513 5156196 9453026 10312392 14179539 18906052 28359078 37812104 56718156 113436312