Base | Representation |
---|---|
bin | 11101001000100010111… |
… | …00010000101011111110 |
3 | 10112200210210201211211200 |
4 | 32210101130100223332 |
5 | 112400042110013042 |
6 | 2043510124400330 |
7 | 132215131421646 |
oct | 16442134205376 |
9 | 3480723654750 |
10 | 1001020001022 |
11 | 35659176a848 |
12 | 1420076a60a6 |
13 | 7351b6b9742 |
14 | 36641abd526 |
15 | 1b08b098c4c |
hex | e911710afe |
1001020001022 has 48 divisors (see below), whose sum is σ = 2175483258000. Its totient is φ = 332657753472.
The previous prime is 1001020001021. The next prime is 1001020001027. The reversal of 1001020001022 is 2201000201001.
1001020001022 is digitally balanced in base 2 and base 4, because in such bases 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 (9).
It is a junction number, because it is equal to n+sod(n) for n = 1001020000995 and 1001020001013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001020001021) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15224554 + ... + 15290162.
It is an arithmetic number, because the mean of its divisors is an integer number (45322567875).
Almost surely, 21001020001022 is an apocalyptic number.
1001020001022 is an abundant number, since it is smaller than the sum of its proper divisors (1174463256978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001020001022 is a wasteful number, since it uses less digits than its factorization.
1001020001022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68185 (or 68182 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 1001020001022 its reverse (2201000201001), we get a palindrome (3202020202023).
The spelling of 1001020001022 in words is "one trillion, one billion, twenty million, one thousand, twenty-two".
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