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112527981605 = 5132133169209
BaseRepresentation
bin110100011001100110…
…0001011110000100101
3101202110021020202012102
41220303030023300211
53320424130402410
6123410013101445
711062356030134
oct1506314136045
9352407222172
10112527981605
11437a5126106
1219985487885
13a7c4175700
145636c3991b
152dd8eee2a5
hex1a3330bc25

112527981605 has 12 divisors (see below), whose sum is σ = 146219792580. Its totient is φ = 83097585792.

The previous prime is 112527981589. The next prime is 112527981607. The reversal of 112527981605 is 506189725211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40016801764 + 72511179841 = 200042^2 + 269279^2 .

It is not a de Polignac number, because 112527981605 - 24 = 112527981589 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112527981605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112527981607) 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, 66583760 + ... + 66585449.

It is an arithmetic number, because the mean of its divisors is an integer number (12184982715).

Almost surely, 2112527981605 is an apocalyptic number.

It is an amenable number.

112527981605 is a deficient number, since it is larger than the sum of its proper divisors (33691810975).

112527981605 is a wasteful number, since it uses less digits than its factorization.

112527981605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133169240 (or 133169227 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 47.

The spelling of 112527981605 in words is "one hundred twelve billion, five hundred twenty-seven million, nine hundred eighty-one thousand, six hundred five".

Divisors: 1 5 13 65 169 845 133169209 665846045 1731199717 8655998585 22505596321 112527981605