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12823071121 = 7423112
BaseRepresentation
bin10111111000101000…
…01000100110010001
31020002122212111200001
423330110020212101
5202230201233441
65520230530001
7632524210000
oct137424104621
936078774601
1012823071121
115490320143
12259a506901
131294834963
14899070c37
15500b53731
hex2fc508991

12823071121 has 15 divisors (see below), whose sum is σ = 14965835433. Its totient is φ = 10986447780.

The previous prime is 12823071089. The next prime is 12823071127. The reversal of 12823071121 is 12117032821.

The square root of 12823071121 is 113239.

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

It is not a de Polignac number, because 12823071121 - 25 = 12823071089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12823071121.

It is not an unprimeable number, because it can be changed into a prime (12823071127) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5547556 + ... + 5549866.

Almost surely, 212823071121 is an apocalyptic number.

12823071121 is the 113239-th square number.

12823071121 is the 56620-th centered octagonal number.

It is an amenable number.

12823071121 is a deficient number, since it is larger than the sum of its proper divisors (2142764312).

12823071121 is an frugal number, since it uses more digits than its factorization.

12823071121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 12823071121 in words is "twelve billion, eight hundred twenty-three million, seventy-one thousand, one hundred twenty-one".

Divisors: 1 7 49 343 2311 2401 16177 113239 792673 5340721 5548711 37385047 261695329 1831867303 12823071121