Base | Representation |
---|---|
bin | 1010001001100110011110… |
… | …00000111100011100110101 |
3 | 2221000210010202120221002000 |
4 | 11010303033000330130311 |
5 | 10411143103014420313 |
6 | 115245420102205513 |
7 | 4462401313602636 |
oct | 504631700743465 |
9 | 87023122527060 |
10 | 22320123201333 |
11 | 7125a02732121 |
12 | 2605958123899 |
13 | c5ba17729719 |
14 | 57242a64588d |
15 | 28a8e6ec7673 |
hex | 144ccf03c735 |
22320123201333 has 128 divisors (see below), whose sum is σ = 35201903063040. Its totient is φ = 13958036951040.
The previous prime is 22320123201329. The next prime is 22320123201361. The reversal of 22320123201333 is 33310232102322.
22320123201333 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 0 + 1 + 2 + 320 + 1 + 333 = 666.
It is not a de Polignac number, because 22320123201333 - 22 = 22320123201329 is a prime.
It is a super-3 number, since 3×223201232013333 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 22320123201297 and 22320123201306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22320123201133) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1251329491 + ... + 1251347327.
It is an arithmetic number, because the mean of its divisors is an integer number (275014867680).
Almost surely, 222320123201333 is an apocalyptic number.
It is an amenable number.
22320123201333 is a deficient number, since it is larger than the sum of its proper divisors (12881779861707).
22320123201333 is a wasteful number, since it uses less digits than its factorization.
22320123201333 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18284 (or 18278 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 22320123201333 its reverse (33310232102322), we get a palindrome (55630355303655).
It can be divided in two parts, 2232012 and 3201333, that added together give a palindrome (5433345).
The spelling of 22320123201333 in words is "twenty-two trillion, three hundred twenty billion, one hundred twenty-three million, two hundred one thousand, three hundred thirty-three".
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