Base | Representation |
---|---|
bin | 1010000110110000000100… |
… | …11101111110000000100101 |
3 | 2220200102101110221122222200 |
4 | 11003120002131332000211 |
5 | 10403042032230400401 |
6 | 115132423323245113 |
7 | 4452333613042221 |
oct | 503300235760045 |
9 | 86612343848880 |
10 | 22222202200101 |
11 | 70984238a0622 |
12 | 25aa98a679799 |
13 | c52710863a87 |
14 | 56b7bb765781 |
15 | 2880b5557686 |
hex | 14360277e025 |
22222202200101 has 48 divisors (see below), whose sum is σ = 34299912291840. Its totient is φ = 13822585524000.
The previous prime is 22222202200031. The next prime is 22222202200109. The reversal of 22222202200101 is 10100220222222.
22222202200101 is a `hidden beast` number, since 2 + 222 + 220 + 220 + 0 + 1 + 0 + 1 = 666.
It is not a de Polignac number, because 22222202200101 - 27 = 22222202199973 is a prime.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22222202200109) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 52985976 + ... + 53403726.
It is an arithmetic number, because the mean of its divisors is an integer number (714581506080).
Almost surely, 222222202200101 is an apocalyptic number.
It is an amenable number.
22222202200101 is a deficient number, since it is larger than the sum of its proper divisors (12077710091739).
22222202200101 is a wasteful number, since it uses less digits than its factorization.
22222202200101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 422486 (or 422483 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22222202200101 its reverse (10100220222222), we get a palindrome (32322422422323).
The spelling of 22222202200101 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred two million, two hundred thousand, one hundred one".
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