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112137529 = 729723593
BaseRepresentation
bin1101010111100…
…01010100111001
321211000011202211
412223301110321
5212201400104
615043255121
72531103400
oct653612471
9254004684
10112137529
1158331649
123167a4a1
131a30328a
1410c70637
159ca0e04
hex6af1539

112137529 has 12 divisors (see below), whose sum is σ = 131796084. Its totient is φ = 95122944.

The previous prime is 112137527. The next prime is 112137533. The reversal of 112137529 is 925731211.

It can be written as a sum of positive squares in 2 ways, for example, as 26759929 + 85377600 = 5173^2 + 9240^2 .

It is not a de Polignac number, because 112137529 - 21 = 112137527 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112137529.

It is not an unprimeable number, because it can be changed into a prime (112137521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7044 + ... + 16549.

It is an arithmetic number, because the mean of its divisors is an integer number (10983007).

Almost surely, 2112137529 is an apocalyptic number.

It is an amenable number.

112137529 is a deficient number, since it is larger than the sum of its proper divisors (19658555).

112137529 is an equidigital number, since it uses as much as digits as its factorization.

112137529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23704 (or 23697 counting only the distinct ones).

The product of its digits is 3780, while the sum is 31.

The square root of 112137529 is about 10589.5008853109. The cubic root of 112137529 is about 482.2256724037.

It can be divided in two parts, 112 and 137529, that added together give a square (137641 = 3712).

The spelling of 112137529 in words is "one hundred twelve million, one hundred thirty-seven thousand, five hundred twenty-nine".

Divisors: 1 7 49 97 679 4753 23593 165151 1156057 2288521 16019647 112137529