Search a number
-
+
13310022000312 = 2332184861416671
BaseRepresentation
bin1100000110101111101100…
…1000100001111010111000
31202010102111022120220220100
43001223323020201322320
53221032411113002222
644150312323555400
72542421516205612
oct301537310417270
952112438526810
1013310022000312
114271826478184
1215ab6a352bb60
1375718bc0820b
143402cc1b5db2
15181356aec4ac
hexc1afb221eb8

13310022000312 has 24 divisors (see below), whose sum is σ = 36047976251040. Its totient is φ = 4436674000080.

The previous prime is 13310022000287. The next prime is 13310022000313. The reversal of 13310022000312 is 21300022001331.

13310022000312 is a `hidden beast` number, since 1 + 33 + 100 + 220 + 0 + 0 + 312 = 666.

13310022000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310022000313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92430708264 + ... + 92430708407.

It is an arithmetic number, because the mean of its divisors is an integer number (1501999010460).

Almost surely, 213310022000312 is an apocalyptic number.

13310022000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310022000312 is an abundant number, since it is smaller than the sum of its proper divisors (22737954250728).

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

13310022000312 is a wasteful number, since it uses less digits than its factorization.

13310022000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184861416683 (or 184861416676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13310022000312 its reverse (21300022001331), we get a palindrome (34610044001643).

The spelling of 13310022000312 in words is "thirteen trillion, three hundred ten billion, twenty-two million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 184861416671 369722833342 554584250013 739445666684 1109168500026 1478891333368 1663752750039 2218337000052 3327505500078 4436674000104 6655011000156 13310022000312