Search a number
-
+
13310002000200 = 23352211686315319
BaseRepresentation
bin1100000110101111100111…
…1100001111000101001000
31202010102102220221210220110
43001223321330033011020
53221032341003001300
644150310331154320
72542421154206343
oct301537174170510
952112386853813
1013310002000200
114271816157864
1215ab6988a59a0
13757187a24a29
143402c968b45a
15181354e9b550
hexc1af9f0f148

13310002000200 has 192 divisors, whose sum is σ = 41465303193600. Its totient is φ = 3531767097600.

The previous prime is 13310002000181. The next prime is 13310002000237. The reversal of 13310002000200 is 200020001331.

It is a happy number.

13310002000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868848141 + ... + 868863459.

It is an arithmetic number, because the mean of its divisors is an integer number (215965120800).

Almost surely, 213310002000200 is an apocalyptic number.

13310002000200 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 13310002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732651596800).

13310002000200 is an abundant number, since it is smaller than the sum of its proper divisors (28155301193400).

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

13310002000200 is a wasteful number, since it uses less digits than its factorization.

13310002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22412 (or 22403 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13310002000200 its reverse (200020001331), we get a palindrome (13510022001531).

The spelling of 13310002000200 in words is "thirteen trillion, three hundred ten billion, two million, two hundred", and thus it is an aban number.