Search a number
-
+
13111103120 = 245179640517
BaseRepresentation
bin11000011010111101…
…11000111010010000
31020211201212001021212
430031132320322100
5203322420244440
610005000235252
7642622352303
oct141536707220
936751761255
1013111103120
11561896a915
12265aa6bb28
13130c4021ab
148c540ab3a
1551b09b465
hex30d7b8e90

13111103120 has 40 divisors (see below), whose sum is σ = 32276454264. Its totient is φ = 4935944192.

The previous prime is 13111103101. The next prime is 13111103153. The reversal of 13111103120 is 2130111131.

It is a happy number.

13111103120 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 6234049936 + 6877053184 = 78956^2 + 82928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13111103095 and 13111103104.

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, 4818899 + ... + 4821618.

Almost surely, 213111103120 is an apocalyptic number.

13111103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111103120 is an abundant number, since it is smaller than the sum of its proper divisors (19165351144).

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

13111103120 is a wasteful number, since it uses less digits than its factorization.

13111103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640547 (or 9640541 counting only the distinct ones).

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

Adding to 13111103120 its reverse (2130111131), we get a palindrome (15241214251).

The spelling of 13111103120 in words is "thirteen billion, one hundred eleven million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9640517 19281034 38562068 48202585 77124136 96405170 154248272 163888789 192810340 327777578 385620680 655555156 771241360 819443945 1311110312 1638887890 2622220624 3277775780 6555551560 13111103120