Search a number
-
+
13111101320 = 2351601204733
BaseRepresentation
bin11000011010111101…
…11000011110001000
31020211201211221211012
430031132320132020
5203322420220240
610005000223052
7642622344122
oct141536703610
936751757735
1013111101320
115618969529
12265aa6aa88
13130c401425
148c540a212
1551b09ab65
hex30d7b8788

13111101320 has 32 divisors (see below), whose sum is σ = 29518548120. Its totient is φ = 5241139200.

The previous prime is 13111101317. The next prime is 13111101337. The reversal of 13111101320 is 2310111131.

It is a happy number.

13111101320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11441725156 + 1669376164 = 106966^2 + 40858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13111101295 and 13111101304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38327 + ... + 166406.

Almost surely, 213111101320 is an apocalyptic number.

13111101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111101320 is an abundant number, since it is smaller than the sum of its proper divisors (16407446800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111101320 is a wasteful number, since it uses less digits than its factorization.

13111101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206345 (or 206341 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13111101320 its reverse (2310111131), we get a palindrome (15421212451).

The spelling of 13111101320 in words is "thirteen billion, one hundred eleven million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 32020 64040 204733 409466 818932 1023665 1637864 2047330 4094660 8189320 327777533 655555066 1311110132 1638887665 2622220264 3277775330 6555550660 13111101320