Search a number
-
+
13011100320 = 2535373791933
BaseRepresentation
bin11000001111000010…
…11010001010100000
31020120202200101020110
430013201122022200
5203121320202240
65551025011320
7640266346041
oct140741321240
936522611213
1013011100320
115577477279
122631483b40
1312c478a33a
148b60188c8
155123e5c80
hex30785a2a0

13011100320 has 192 divisors, whose sum is σ = 42225563520. Its totient is φ = 3365203968.

The previous prime is 13011100301. The next prime is 13011100321. The reversal of 13011100320 is 2300111031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13011100296 and 13011100305.

It is not an unprimeable number, because it can be changed into a prime (13011100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6730074 + ... + 6732006.

It is an arithmetic number, because the mean of its divisors is an integer number (219924810).

Almost surely, 213011100320 is an apocalyptic number.

13011100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112781760).

13011100320 is an abundant number, since it is smaller than the sum of its proper divisors (29214463200).

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

13011100320 is a wasteful number, since it uses less digits than its factorization.

13011100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13011100320 its reverse (2300111031), we get a palindrome (15311211351).

The spelling of 13011100320 in words is "thirteen billion, eleven million, one hundred thousand, three hundred twenty".