Base | Representation |
---|---|
bin | 10011000110011001010111… |
… | …11011100001000111100100 |
3 | 12111201021111101120120020100 |
4 | 21203030223323201013210 |
5 | 21001122000341210040 |
6 | 225155032313304100 |
7 | 11563326304132233 |
oct | 1143145373410744 |
9 | 174637441516210 |
10 | 42001222210020 |
11 | 12423688a71387 |
12 | 4864150405030 |
13 | 1a589100cb618 |
14 | a52c273dab1a |
15 | 4cc835170b30 |
hex | 26332bee11e4 |
42001222210020 has 72 divisors (see below), whose sum is σ = 127405906677504. Its totient is φ = 11200132577088.
The previous prime is 42001222209997. The next prime is 42001222210021. The reversal of 42001222210020 is 2001222210024.
42001222210020 is a `hidden beast` number, since 420 + 0 + 1 + 2 + 2 + 221 + 0 + 0 + 20 = 666.
42001222210020 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 = 42001222209975 and 42001222210002.
It is not an unprimeable number, because it can be changed into a prime (42001222210021) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 8597037 + ... + 12566283.
It is an arithmetic number, because the mean of its divisors is an integer number (1769526481632).
Almost surely, 242001222210020 is an apocalyptic number.
It is an amenable number.
42001222210020 is an abundant number, since it is smaller than the sum of its proper divisors (85404684467484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42001222210020 is a wasteful number, since it uses less digits than its factorization.
42001222210020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4028049 (or 4028044 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 42001222210020 its reverse (2001222210024), we get a palindrome (44002444420044).
The spelling of 42001222210020 in words is "forty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, twenty".
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