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13223220309 = 3213177763601
BaseRepresentation
bin11000101000010101…
…00101010001010101
31021010112211012011100
430110022211101111
5204040121022214
610024043300313
7645453342465
oct142412452125
937115735140
1013223220309
115676188152
12269051a699
1313296c9120
148d6273ba5
15525d46309
hex3142a5455

13223220309 has 24 divisors (see below), whose sum is σ = 20581352792. Its totient is φ = 8132659200.

The previous prime is 13223220287. The next prime is 13223220331. The reversal of 13223220309 is 90302232231.

13223220309 is a `hidden beast` number, since 1 + 32 + 2 + 322 + 0 + 309 = 666.

It is an interprime number because it is at equal distance from previous prime (13223220287) and next prime (13223220331).

It can be written as a sum of positive squares in 4 ways, for example, as 2340140625 + 10883079684 = 48375^2 + 104322^2 .

It is not a de Polignac number, because 13223220309 - 29 = 13223219797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223220709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176109 + ... + 239709.

Almost surely, 213223220309 is an apocalyptic number.

It is an amenable number.

13223220309 is a deficient number, since it is larger than the sum of its proper divisors (7358132483).

13223220309 is a wasteful number, since it uses less digits than its factorization.

13223220309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65397 (or 65394 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13223220309 in words is "thirteen billion, two hundred twenty-three million, two hundred twenty thousand, three hundred nine".

Divisors: 1 3 9 13 39 117 1777 5331 15993 23101 63601 69303 190803 207909 572409 826813 2480439 7441317 113018977 339056931 1017170793 1469246701 4407740103 13223220309