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13221000331 = 711223769961
BaseRepresentation
bin11000101000000100…
…00111010010001011
31021010101122101220221
430110002013102023
5204034034002311
610023523530511
7645425435320
oct142402072213
937111571827
1013221000331
115674a01260
12268b829a37
1313290cc826
148d5c56b47
15525a58671
hex31408748b

13221000331 has 16 divisors (see below), whose sum is σ = 16557262848. Its totient is φ = 10255867200.

The previous prime is 13221000307. The next prime is 13221000349. The reversal of 13221000331 is 13300012231.

It is a cyclic number.

It is not a de Polignac number, because 13221000331 - 29 = 13220999819 is a prime.

It is a super-2 number, since 2×132210003312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13221000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367810 + ... + 402151.

It is an arithmetic number, because the mean of its divisors is an integer number (1034828928).

Almost surely, 213221000331 is an apocalyptic number.

13221000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13221000331 is a deficient number, since it is larger than the sum of its proper divisors (3336262517).

13221000331 is a wasteful number, since it uses less digits than its factorization.

13221000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770202.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13221000331 its reverse (13300012231), we get a palindrome (26521012562).

The spelling of 13221000331 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 223 1561 2453 17171 769961 5389727 8469571 59286997 171701303 1201909121 1888714333 13221000331