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112372293 = 3113792033
BaseRepresentation
bin1101011001010…
…10101001000101
321211110002210210
412230222221011
5212231403133
615052310033
72533102005
oct654525105
9254402723
10112372293
1158481a70
1231772319
131a3860a7
1410cd2005
159cea763
hex6b2aa45

112372293 has 16 divisors (see below), whose sum is σ = 167870016. Its totient is φ = 66263040.

The previous prime is 112372277. The next prime is 112372307. The reversal of 112372293 is 392273211.

It is not a de Polignac number, because 112372293 - 24 = 112372277 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112372293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112372223) 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, 44796 + ... + 47237.

It is an arithmetic number, because the mean of its divisors is an integer number (10491876).

Almost surely, 2112372293 is an apocalyptic number.

It is an amenable number.

112372293 is a deficient number, since it is larger than the sum of its proper divisors (55497723).

112372293 is a wasteful number, since it uses less digits than its factorization.

112372293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92084.

The product of its digits is 4536, while the sum is 30.

The square root of 112372293 is about 10600.5798426313. The cubic root of 112372293 is about 482.5619568394.

It can be divided in two parts, 11237 and 2293, that added together give a triangular number (13530 = T164).

The spelling of 112372293 in words is "one hundred twelve million, three hundred seventy-two thousand, two hundred ninety-three".

Divisors: 1 3 11 33 37 111 407 1221 92033 276099 1012363 3037089 3405221 10215663 37457431 112372293