Search a number
-
+
13312112110000 = 245411223542687
BaseRepresentation
bin1100000110110111011110…
…1101101010100110110000
31202010121212222111111101021
43001231313231222212300
53221101201200010000
644151255550145224
72542524355641064
oct301556755524660
952117788444337
1013312112110000
1142726a9270560
1215abb874b2214
13757432c42402
14340449a09aa4
1518142a35e11a
hexc1b77b6a9b0

13312112110000 has 200 divisors, whose sum is σ = 35317683523584. Its totient is φ = 4819051680000.

The previous prime is 13312112109973. The next prime is 13312112110039. The reversal of 13312112110000 is 1121121331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24258657 + ... + 24801343.

Almost surely, 213312112110000 is an apocalyptic number.

13312112110000 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 13312112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658841761792).

13312112110000 is an abundant number, since it is smaller than the sum of its proper divisors (22005571413584).

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

13312112110000 is a wasteful number, since it uses less digits than its factorization.

13312112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542949 (or 542928 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13312112110000 its reverse (1121121331), we get a palindrome (13313233231331).

The spelling of 13312112110000 in words is "thirteen trillion, three hundred twelve billion, one hundred twelve million, one hundred ten thousand".