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112361301 = 3213960353
BaseRepresentation
bin1101011001001…
…11111101010101
321211102112201200
412230213331111
5212231030201
615052143113
72533024653
oct654477525
9254375650
10112361301
1158474788
1231767a99
131a3810a0
1410ccbdd3
159ce7386
hex6b27f55

112361301 has 12 divisors (see below), whose sum is σ = 174784428. Its totient is φ = 69145344.

The previous prime is 112361287. The next prime is 112361317. The reversal of 112361301 is 103163211.

112361301 is a `hidden beast` number, since 1 + 1 + 2 + 361 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17766225 + 94595076 = 4215^2 + 9726^2 .

It is not a de Polignac number, because 112361301 - 214 = 112344917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112361351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480060 + ... + 480293.

It is an arithmetic number, because the mean of its divisors is an integer number (14565369).

Almost surely, 2112361301 is an apocalyptic number.

It is an amenable number.

112361301 is a deficient number, since it is larger than the sum of its proper divisors (62423127).

112361301 is a wasteful number, since it uses less digits than its factorization.

112361301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960372 (or 960369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112361301 is about 10600.0613677469. The cubic root of 112361301 is about 482.5462219583.

The spelling of 112361301 in words is "one hundred twelve million, three hundred sixty-one thousand, three hundred one".

Divisors: 1 3 9 13 39 117 960353 2881059 8643177 12484589 37453767 112361301