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112534082521 = 7217228192
BaseRepresentation
bin110100011001110001…
…1011101001111011001
3101202110200201201002021
41220303203131033121
53320432211120041
6123410351534441
711062461630100
oct1506343351731
9352420651067
10112534082521
11437a8612893
121998752a421
13a7c5500613
145637987037
152dd9806cd1
hex1a338dd3d9

112534082521 has 27 divisors (see below), whose sum is σ = 139109717919. Its totient is φ = 90751593408.

The previous prime is 112534082519. The next prime is 112534082527. The reversal of 112534082521 is 125280435211.

The square root of 112534082521 is 335461.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87613040025 + 24921042496 = 295995^2 + 157864^2 .

It is not a de Polignac number, because 112534082521 - 21 = 112534082519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112534082527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39918450 + ... + 39921268.

Almost surely, 2112534082521 is an apocalyptic number.

112534082521 is the 335461-st square number.

112534082521 is the 167731-st centered octagonal number.

It is an amenable number.

112534082521 is a deficient number, since it is larger than the sum of its proper divisors (26575635398).

112534082521 is an frugal number, since it uses more digits than its factorization.

112534082521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 112534082521 in words is "one hundred twelve billion, five hundred thirty-four million, eighty-two thousand, five hundred twenty-one".

Divisors: 1 7 17 49 119 289 833 2023 2819 14161 19733 47923 138131 335461 814691 2348227 5702837 7946761 39919859 55627327 135094937 389391289 945664559 2296613929 6619651913 16076297503 112534082521