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20131313321 = 726731119717
BaseRepresentation
bin10010101111111010…
…110111011010101001
31220221222121200021002
4102233322313122221
5312212104011241
613125335524345
71311605224400
oct225772673251
956858550232
1020131313321
1185a0668729
123a99b296b5
131b8a963122
14d8d908637
157cc55889b
hex4afeb76a9

20131313321 has 24 divisors (see below), whose sum is σ = 23845214016. Its totient is φ = 16942353120.

The previous prime is 20131313309. The next prime is 20131313357. The reversal of 20131313321 is 12331313102.

It is not a de Polignac number, because 20131313321 - 222 = 20127119017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20131313293 and 20131313302.

It is not an unprimeable number, because it can be changed into a prime (20131313821) 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, 1011155 + ... + 1030871.

It is an arithmetic number, because the mean of its divisors is an integer number (993550584).

Almost surely, 220131313321 is an apocalyptic number.

It is an amenable number.

20131313321 is a deficient number, since it is larger than the sum of its proper divisors (3713900695).

20131313321 is a wasteful number, since it uses less digits than its factorization.

20131313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20109 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20131313321 its reverse (12331313102), we get a palindrome (32462626423).

The spelling of 20131313321 in words is "twenty billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 49 67 311 469 2177 3283 15239 19717 20837 138019 145859 966133 1021013 1321039 6131987 9247273 42923909 64730911 300467363 410843129 2875901903 20131313321