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112001193 = 32113110129
BaseRepresentation
bin1101010110100…
…00000010101001
321210202020202100
412223100002221
5212133014233
615040324013
72526665043
oct653200251
9253666670
10112001193
1158249177
1231613609
131a2861c5
1410c36a93
159c75813
hex6ad00a9

112001193 has 12 divisors (see below), whose sum is σ = 163212660. Its totient is φ = 74006016.

The previous prime is 112001189. The next prime is 112001207. The reversal of 112001193 is 391100211.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 96884649 = 3888^2 + 9843^2 .

It is not a de Polignac number, because 112001193 - 22 = 112001189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112001693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54048 + ... + 56081.

It is an arithmetic number, because the mean of its divisors is an integer number (13601055).

Almost surely, 2112001193 is an apocalyptic number.

It is an amenable number.

112001193 is a deficient number, since it is larger than the sum of its proper divisors (51211467).

112001193 is a wasteful number, since it uses less digits than its factorization.

112001193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110248 (or 110245 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 112001193 is about 10583.0616080603. The cubic root of 112001193 is about 482.0301643169.

The spelling of 112001193 in words is "one hundred twelve million, one thousand, one hundred ninety-three".

Divisors: 1 3 9 113 339 1017 110129 330387 991161 12444577 37333731 112001193