Base | Representation |
---|---|
bin | 11101101111110100000… |
… | …10100000111000011010 |
3 | 10121201020001122010122000 |
4 | 32313322002200320122 |
5 | 113221231131241442 |
6 | 2101314113341430 |
7 | 133562434312155 |
oct | 16677202407032 |
9 | 3551201563560 |
10 | 1022102212122 |
11 | 364520064002 |
12 | 14610bb67876 |
13 | 754cb357174 |
14 | 376819d2c9c |
15 | 1b8c1d34d4c |
hex | edfa0a0e1a |
1022102212122 has 128 divisors (see below), whose sum is σ = 2391913635840. Its totient is φ = 322898400000.
The previous prime is 1022102212091. The next prime is 1022102212133. The reversal of 1022102212122 is 2212122012201.
It is a happy number.
1022102212122 is a `hidden beast` number, since 10 + 221 + 0 + 221 + 212 + 2 = 666.
1022102212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 1022102212095 and 1022102212104.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75197547 + ... + 75211137.
It is an arithmetic number, because the mean of its divisors is an integer number (18686825280).
Almost surely, 21022102212122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022102212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195956817920).
1022102212122 is an abundant number, since it is smaller than the sum of its proper divisors (1369811423718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022102212122 is a wasteful number, since it uses less digits than its factorization.
1022102212122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14177 (or 14171 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 1022102212122 its reverse (2212122012201), we get a palindrome (3234224224323).
The spelling of 1022102212122 in words is "one trillion, twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred twenty-two".
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