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112300869 = 3113337983
BaseRepresentation
bin1101011000110…
…01001101000101
321211022110211110
412230121031011
5212222111434
615050555233
72532353532
oct654311505
9254273743
10112300869
115843333a
1231738b19
131a35c725
1410cb3d89
159cd44e9
hex6b19345

112300869 has 16 divisors (see below), whose sum is σ = 151661952. Its totient is φ = 73909248.

The previous prime is 112300843. The next prime is 112300889. The reversal of 112300869 is 968003211.

It is not a de Polignac number, because 112300869 - 212 = 112296773 is a prime.

It is a super-3 number, since 3×1123008693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300889) 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 15 ways as a sum of consecutive naturals, for example, 113752 + ... + 114734.

It is an arithmetic number, because the mean of its divisors is an integer number (9478872).

Almost surely, 2112300869 is an apocalyptic number.

It is an amenable number.

112300869 is a deficient number, since it is larger than the sum of its proper divisors (39361083).

112300869 is a wasteful number, since it uses less digits than its factorization.

112300869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 112300869 is about 10597.2104348267. The cubic root of 112300869 is about 482.4596961332.

The spelling of 112300869 in words is "one hundred twelve million, three hundred thousand, eight hundred sixty-nine".

Divisors: 1 3 113 337 339 983 1011 2949 38081 111079 114243 331271 333237 993813 37433623 112300869