Base | Representation |
---|---|
bin | 100000001010001111100… |
… | …101101001001100111010 |
3 | 21211021110020200001102121 |
4 | 200022033211221030322 |
5 | 242202111140400442 |
6 | 4411134205351454 |
7 | 315445260515302 |
oct | 40121745511472 |
9 | 7737406601377 |
10 | 2210022200122 |
11 | 7822a0a0a300 |
12 | 2b8397b6858a |
13 | 130534044679 |
14 | 78d73a32602 |
15 | 3c74b247967 |
hex | 2028f96933a |
2210022200122 has 96 divisors (see below), whose sum is σ = 3757927318992. Its totient is φ = 973716480000.
The previous prime is 2210022200101. The next prime is 2210022200179.
2210022200122 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 8 ways, for example, as 2201012583561 + 9009616561 = 1483581^2 + 94919^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2210022200096 and 2210022200105.
It is an unprimeable number.
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, 244439922 + ... + 244448962.
Almost surely, 22210022200122 is an apocalyptic number.
2210022200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2210022200122 is a deficient number, since it is larger than the sum of its proper divisors (1547905118870).
2210022200122 is a wasteful number, since it uses less digits than its factorization.
2210022200122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9376 (or 9365 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
It can be divided in two parts, 22100 and 22200122, that added together give a palindrome (22222222).
The spelling of 2210022200122 in words is "two trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred twenty-two".
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