Search a number
-
+
13320121000122 = 2323301224176529
BaseRepresentation
bin1100000111010101010100…
…0101001010000010111010
31202011101120010122021020100
43001311111011022002322
53221214101434000442
644155102404340230
72543230005246006
oct301652505120272
952141503567210
1013320121000122
114276039060212
1215b16416a4676
1375810b278b51
143409a9549706
1518174851384c
hexc1d5514a0ba

13320121000122 has 24 divisors (see below), whose sum is σ = 28869005180340. Its totient is φ = 4438695254400.

The previous prime is 13320121000103. The next prime is 13320121000159. The reversal of 13320121000122 is 22100012102331.

13320121000122 is a `hidden beast` number, since 1 + 332 + 0 + 1 + 210 + 0 + 0 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12606753258801 + 713367741321 = 3550599^2 + 844611^2 .

It is a super-2 number, since 2×133201210001222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13320121000095 and 13320121000104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112028847 + ... + 112147682.

Almost surely, 213320121000122 is an apocalyptic number.

13320121000122 is an abundant number, since it is smaller than the sum of its proper divisors (15548884180218).

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

13320121000122 is a wasteful number, since it uses less digits than its factorization.

13320121000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224179838 (or 224179835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13320121000122 its reverse (22100012102331), we get a palindrome (35420133102453).

The spelling of 13320121000122 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 3301 6602 9903 19806 29709 59418 224176529 448353058 672529587 1345059174 2017588761 4035177522 740006722229 1480013444458 2220020166687 4440040333374 6660060500061 13320121000122