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13131103221 = 3214533100393
BaseRepresentation
bin11000011101010110…
…01011101111110101
31020220010111011021100
430032223023233311
5203343030300341
610010553040313
7643254351525
oct141653135765
936803434240
1013131103221
115629190225
1226656b6099
1313135b5682
148c7d35685
1551cbec3b6
hex30eacbbf5

13131103221 has 12 divisors (see below), whose sum is σ = 18968643148. Its totient is φ = 8753379264.

The previous prime is 13131103201. The next prime is 13131103247. The reversal of 13131103221 is 12230113131.

13131103221 is a `hidden beast` number, since 1 + 31 + 311 + 0 + 322 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6970580100 + 6160523121 = 83490^2 + 78489^2 .

It is not a de Polignac number, because 13131103221 - 218 = 13130841077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131103194 and 13131103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131103201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80601 + ... + 180993.

Almost surely, 213131103221 is an apocalyptic number.

It is an amenable number.

13131103221 is a deficient number, since it is larger than the sum of its proper divisors (5837539927).

13131103221 is a wasteful number, since it uses less digits than its factorization.

13131103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114932 (or 114929 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131103221 its reverse (12230113131), we get a palindrome (25361216352).

The spelling of 13131103221 in words is "thirteen billion, one hundred thirty-one million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 14533 43599 100393 130797 301179 903537 1459011469 4377034407 13131103221