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12913822321 = 19259812
BaseRepresentation
bin11000000011011100…
…10100101001110001
31020022222122010220121
430001232110221301
5202421414303241
65533232010241
7635005451521
oct140156245161
936288563817
1012913822321
115527574934
122604990981
1312aa58a7aa
148a7135681
15508accad1
hex301b94a71

12913822321 has 9 divisors (see below), whose sum is σ = 13631548683. Its totient is φ = 12232101960.

The previous prime is 12913822301. The next prime is 12913822367. The reversal of 12913822321 is 12322831921.

The square root of 12913822321 is 113639.

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., 347412321 + 12566410000 = 18639^2 + 112100^2 .

It is not a de Polignac number, because 12913822321 - 25 = 12913822289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12913822301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2156151 + ... + 2162131.

Almost surely, 212913822321 is an apocalyptic number.

12913822321 is the 113639-th square number.

12913822321 is the 56820-th centered octagonal number.

It is an amenable number.

12913822321 is a deficient number, since it is larger than the sum of its proper divisors (717726362).

12913822321 is an frugal number, since it uses more digits than its factorization.

12913822321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000 (or 6000 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The spelling of 12913822321 in words is "twelve billion, nine hundred thirteen million, eight hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 19 361 5981 113639 2159141 35772361 679674859 12913822321