Base | Representation |
---|---|
bin | 1001100110101110111110… |
… | …11001100011010110110100 |
3 | 2202210020211121201222101200 |
4 | 10303113133121203112310 |
5 | 10232031031131241040 |
6 | 112531205414452500 |
7 | 4310010245322225 |
oct | 463273731432664 |
9 | 82706747658350 |
10 | 21122102212020 |
11 | 6803919057057 |
12 | 2451731364130 |
13 | ba2a6214a574 |
14 | 53045acb124c |
15 | 26967ae05630 |
hex | 1335df6635b4 |
21122102212020 has 144 divisors (see below), whose sum is σ = 64405114720128. Its totient is φ = 5603158874880.
The previous prime is 21122102211983. The next prime is 21122102212027. The reversal of 21122102212020 is 2021220122112.
It is a happy number.
21122102212020 is a `hidden beast` number, since 21 + 1 + 221 + 0 + 221 + 202 + 0 = 666.
It is a super-2 number, since 2×211221022120202 (a number of 27 digits) contains 22 as substring.
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 = 21122102211984 and 21122102212002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21122102212027) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79131022 + ... + 79397498.
It is an arithmetic number, because the mean of its divisors is an integer number (447257741112).
Almost surely, 221122102212020 is an apocalyptic number.
21122102212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21122102212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32202557360064).
21122102212020 is an abundant number, since it is smaller than the sum of its proper divisors (43283012508108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122102212020 is a wasteful number, since it uses less digits than its factorization.
21122102212020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268790 (or 268785 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21122102212020 its reverse (2021220122112), we get a palindrome (23143322334132).
The spelling of 21122102212020 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twenty".
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