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112058199 = 32114724083
BaseRepresentation
bin1101010110111…
…01111101010111
321210212010221200
412223131331113
5212141330244
615041443543
72530323201
oct653357527
9253763850
10112058199
1158287a90
12316405b3
131a2a6136
1410c4d771
159c87669
hex6addf57

112058199 has 24 divisors (see below), whose sum is σ = 180340992. Its totient is φ = 66466320.

The previous prime is 112058161. The next prime is 112058201. The reversal of 112058199 is 991850211.

112058199 = 10452 + 10462 + ... + 11382.

It is not a de Polignac number, because 112058199 - 27 = 112058071 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112058119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7389 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (7514208).

Almost surely, 2112058199 is an apocalyptic number.

112058199 is a deficient number, since it is larger than the sum of its proper divisors (68282793).

112058199 is a wasteful number, since it uses less digits than its factorization.

112058199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 112058199 is about 10585.7545314446. The cubic root of 112058199 is about 482.1119311569. Note that the first 3 decimals are identical.

It can be divided in two parts, 1120 and 58199, that added together give a cube (59319 = 393).

The spelling of 112058199 in words is "one hundred twelve million, fifty-eight thousand, one hundred ninety-nine".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 24083 72249 216747 264913 794739 1131901 2384217 3395703 10187109 12450911 37352733 112058199