Base | Representation |
---|---|
bin | 1010000110101111111011… |
… | …01100000010001011001101 |
3 | 2220200102011220001010122100 |
4 | 11003113331230002023031 |
5 | 10403041401213013401 |
6 | 115132411340305313 |
7 | 4452331620260001 |
oct | 503277554021315 |
9 | 86612156033570 |
10 | 22222122001101 |
11 | 70983925a3960 |
12 | 25aa967842239 |
13 | c526ca063c49 |
14 | 56b7b0c4a701 |
15 | 2880ad4b4b86 |
hex | 1435fdb022cd |
22222122001101 has 48 divisors (see below), whose sum is σ = 37409804490240. Its totient is φ = 12568678515360.
The previous prime is 22222122001099. The next prime is 22222122001109. The reversal of 22222122001101 is 10110022122222.
It is a happy number.
22222122001101 is a `hidden beast` number, since 222 + 221 + 220 + 0 + 1 + 1 + 0 + 1 = 666.
It is not a de Polignac number, because 22222122001101 - 21 = 22222122001099 is a prime.
It is a super-2 number, since 2×222221220011012 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22222122001109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88038105 + ... + 88290158.
It is an arithmetic number, because the mean of its divisors is an integer number (779370926880).
Almost surely, 222222122001101 is an apocalyptic number.
It is an amenable number.
22222122001101 is a deficient number, since it is larger than the sum of its proper divisors (15187682489139).
22222122001101 is a wasteful number, since it uses less digits than its factorization.
22222122001101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176328366 (or 176328363 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22222122001101 its reverse (10110022122222), we get a palindrome (32332144123323).
The spelling of 22222122001101 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty-two million, one thousand, one hundred one".
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