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13224310009 = 1149972
BaseRepresentation
bin11000101000011101…
…01111010011111001
31021010121212112221121
430110032233103321
5204040410410014
610024122505241
7645465531451
oct142416572371
937117775847
1013224310009
115676861929
122690965221
1313299bb111
148d6478d61
15525eae124
hex3143af4f9

13224310009 has 3 divisors (see below), whose sum is σ = 13224425007. Its totient is φ = 13224195012.

The previous prime is 13224310003. The next prime is 13224310051. The reversal of 13224310009 is 90001342231.

The square root of 13224310009 is 114997.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3349515625 + 9874794384 = 57875^2 + 99372^2 .

It is not a de Polignac number, because 13224310009 - 213 = 13224301817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13224310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57499 + ... + 172495.

It is an arithmetic number, because the mean of its divisors is an integer number (4408141669).

Almost surely, 213224310009 is an apocalyptic number.

13224310009 is the 114997-th square number.

13224310009 is the 57499-th centered octagonal number.

It is an amenable number.

13224310009 is a deficient number, since it is larger than the sum of its proper divisors (114998).

13224310009 is an frugal number, since it uses more digits than its factorization.

13224310009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229994 (or 114997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 13224310009 by its sum of digits (25), we get a square (330607750225 = 5749852).

Multiplying 13224310009 by its product of nonzero digits (1296), we get a square (17138705771664 = 41398922).

The spelling of 13224310009 in words is "thirteen billion, two hundred twenty-four million, three hundred ten thousand, nine".

Divisors: 1 114997 13224310009