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112300331 = 11132193313
BaseRepresentation
bin1101011000110…
…01000100101011
321211022110002112
412230121010223
5212222102311
615050552535
72532352133
oct654310453
9254273075
10112300331
11584329a0
123173874b
131a35c400
1410cb3ac3
159cd428b
hex6b1912b

112300331 has 24 divisors (see below), whose sum is σ = 133771536. Its totient is φ = 93450240.

The previous prime is 112300327. The next prime is 112300333. The reversal of 112300331 is 133003211.

It is not a de Polignac number, because 112300331 - 22 = 112300327 is a prime.

It is a super-2 number, since 2×1123003312 = 25222728685419122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112300333) 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 23 ways as a sum of consecutive naturals, for example, 358631 + ... + 358943.

It is an arithmetic number, because the mean of its divisors is an integer number (5573814).

Almost surely, 2112300331 is an apocalyptic number.

112300331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112300331 is a deficient number, since it is larger than the sum of its proper divisors (21471205).

112300331 is a wasteful number, since it uses less digits than its factorization.

112300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 112300331 is about 10597.1850507576. The cubic root of 112300331 is about 482.4589256918.

Adding to 112300331 its reverse (133003211), we get a palindrome (245303542).

The spelling of 112300331 in words is "one hundred twelve million, three hundred thousand, three hundred thirty-one".

Divisors: 1 11 13 143 169 193 313 1859 2123 2509 3443 4069 27599 32617 44759 52897 60409 358787 581867 664499 785317 8638487 10209121 112300331