Base | Representation |
---|---|
bin | 1001000111011001010000… |
… | …0100111100010011100010 |
3 | 1022111011012020002002221110 |
4 | 2101312110010330103202 |
5 | 2303202333103300442 |
6 | 33152201051404150 |
7 | 2053053303026640 |
oct | 221662404742342 |
9 | 38434166062843 |
10 | 10022643025122 |
11 | 3214640774a22 |
12 | 115a556a53656 |
13 | 57919228b840 |
14 | 269154456190 |
15 | 125aa2c3c69c |
hex | 91d9413c4e2 |
10022643025122 has 128 divisors (see below), whose sum is σ = 25973302118400. Its totient is φ = 2503854706176.
The previous prime is 10022643025121. The next prime is 10022643025123. The reversal of 10022643025122 is 22152034622001.
It is an interprime number because it is at equal distance from previous prime (10022643025121) and next prime (10022643025123).
It is a super-2 number, since 2×100226430251222 (a number of 27 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10022643025122.
It is not an unprimeable number, because it can be changed into a prime (10022643025121) 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 63 ways as a sum of consecutive naturals, for example, 76878829 + ... + 77009087.
It is an arithmetic number, because the mean of its divisors is an integer number (202916422800).
Almost surely, 210022643025122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10022643025122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986651059200).
10022643025122 is an abundant number, since it is smaller than the sum of its proper divisors (15950659093278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022643025122 is a wasteful number, since it uses less digits than its factorization.
10022643025122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137720.
The product of its (nonzero) digits is 11520, while the sum is 30.
Adding to 10022643025122 its reverse (22152034622001), we get a palindrome (32174677647123).
The spelling of 10022643025122 in words is "ten trillion, twenty-two billion, six hundred forty-three million, twenty-five thousand, one hundred twenty-two".
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