Base | Representation |
---|---|
bin | 1010000100000110110010… |
… | …11111000101001001010000 |
3 | 2220100201210202122102100220 |
4 | 11002003121133011021100 |
5 | 10400044420444444100 |
6 | 115022553241113040 |
7 | 4442635514534415 |
oct | 502033137051120 |
9 | 86321722572326 |
10 | 22131320312400 |
11 | 7062927399222 |
12 | 2595246488780 |
13 | c46c8911a270 |
14 | 5672396a410c |
15 | 285a46a7aaa0 |
hex | 1420d97c5250 |
22131320312400 has 120 divisors (see below), whose sum is σ = 76347380434080. Its totient is φ = 5447709611520.
The previous prime is 22131320312369. The next prime is 22131320312441. The reversal of 22131320312400 is 421302313122.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709321590 + ... + 709352789.
It is an arithmetic number, because the mean of its divisors is an integer number (636228170284).
Almost surely, 222131320312400 is an apocalyptic number.
22131320312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22131320312400 is an abundant number, since it is smaller than the sum of its proper divisors (54216060121680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22131320312400 is a wasteful number, since it uses less digits than its factorization.
22131320312400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1418674413 (or 1418674402 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 22131320312400 its reverse (421302313122), we get a palindrome (22552622625522).
The spelling of 22131320312400 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand, four hundred".
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