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13221011111321 = 131017000854717
BaseRepresentation
bin1100000001100100000110…
…1010111011110110011001
31201210220201222220021000002
43000121001222323312121
53213103112321030241
644041352035422345
72533120660141616
oct300310152736631
951726658807002
1013221011111321
114237aaa112902
1215963a1a549b5
1374b974caca30
14339c867cd50d
1517dd9750089b
hexc0641abbd99

13221011111321 has 4 divisors (see below), whose sum is σ = 14238011966052. Its totient is φ = 12204010256592.

The previous prime is 13221011111299. The next prime is 13221011111333. The reversal of 13221011111321 is 12311111012231.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7166655597721 + 6054355513600 = 2677061^2 + 2460560^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221011111321 - 214 = 13221011094937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221011111293 and 13221011111302.

It is not an unprimeable number, because it can be changed into a prime (13221011111521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 508500427346 + ... + 508500427371.

It is an arithmetic number, because the mean of its divisors is an integer number (3559502991513).

Almost surely, 213221011111321 is an apocalyptic number.

It is an amenable number.

13221011111321 is a deficient number, since it is larger than the sum of its proper divisors (1017000854731).

13221011111321 is a wasteful number, since it uses less digits than its factorization.

13221011111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017000854730.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 13221011111321 its reverse (12311111012231), we get a palindrome (25532122123552).

The spelling of 13221011111321 in words is "thirteen trillion, two hundred twenty-one billion, eleven million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 13 1017000854717 13221011111321