Base | Representation |
---|---|
bin | 1001000111010110111100… |
… | …0100110000110011011110 |
3 | 1022111002120221220222211000 |
4 | 2101311233010300303132 |
5 | 2303200100142033042 |
6 | 33152015313411130 |
7 | 2053032024212310 |
oct | 221655704606336 |
9 | 38432527828730 |
10 | 10022022221022 |
11 | 32143522a7689 |
12 | 115a402b69aa6 |
13 | 5790c378a836 |
14 | 2690d5c157b0 |
15 | 125a684b074c |
hex | 91d6f130cde |
10022022221022 has 128 divisors (see below), whose sum is σ = 26795951078400. Its totient is φ = 2712365595648.
The previous prime is 10022022221017. The next prime is 10022022221153. The reversal of 10022022221022 is 22012222022001.
10022022221022 is a `hidden beast` number, since 10 + 0 + 220 + 222 + 210 + 2 + 2 = 666.
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 = 10022022220986 and 10022022221004.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 56052438 + ... + 56230950.
It is an arithmetic number, because the mean of its divisors is an integer number (209343367800).
Almost surely, 210022022221022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10022022221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397975539200).
10022022221022 is an abundant number, since it is smaller than the sum of its proper divisors (16773928857378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022022221022 is a wasteful number, since it uses less digits than its factorization.
10022022221022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186367 (or 186361 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10022022221022 its reverse (22012222022001), we get a palindrome (32034244243023).
The spelling of 10022022221022 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred twenty-one thousand, twenty-two".
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