Base | Representation |
---|---|
bin | 1010000011100001010100… |
… | …01110101001010010100110 |
3 | 2220021210212112221211220200 |
4 | 11001300222032221102212 |
5 | 10344232214212401042 |
6 | 115005424535411330 |
7 | 4441324102664304 |
oct | 501605216512246 |
9 | 86253775854820 |
10 | 22111200122022 |
11 | 7055342038410 |
12 | 2591370223b46 |
13 | c4510087cb7b |
14 | 56628b453274 |
15 | 28526a4bcc4c |
hex | 141c2a3a94a6 |
22111200122022 has 144 divisors (see below), whose sum is σ = 53413764768000. Its totient is φ = 6555924787680.
The previous prime is 22111200121957. The next prime is 22111200122027. The reversal of 22111200122022 is 22022100211122.
It is a happy number.
22111200122022 is a `hidden beast` number, since 221 + 1 + 1 + 200 + 1 + 220 + 22 = 666.
It is a super-2 number, since 2×221112001220222 (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 = 22111200121986 and 22111200122004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22111200122027) 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 71 ways as a sum of consecutive naturals, for example, 2571364479 + ... + 2571373077.
It is an arithmetic number, because the mean of its divisors is an integer number (370928922000).
Almost surely, 222111200122022 is an apocalyptic number.
22111200122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22111200122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26706882384000).
22111200122022 is an abundant number, since it is smaller than the sum of its proper divisors (31302564645978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22111200122022 is a wasteful number, since it uses less digits than its factorization.
22111200122022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14591 (or 14541 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22111200122022 its reverse (22022100211122), we get a palindrome (44133300333144).
It can be divided in two parts, 22111200 and 122022, that added together give a palindrome (22233222).
The spelling of 22111200122022 in words is "twenty-two trillion, one hundred eleven billion, two hundred million, one hundred twenty-two thousand, twenty-two".
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