Base | Representation |
---|---|
bin | 100111010011010101… |
… | …000001111010011110 |
3 | 11000221000010211201120 |
4 | 213103111001322132 |
5 | 1142411223223402 |
6 | 31215252551410 |
7 | 3022521606300 |
oct | 472325017236 |
9 | 130830124646 |
10 | 42200211102 |
11 | 16995a12225 |
12 | 8218922566 |
13 | 3c96b5901a |
14 | 20848a1970 |
15 | 116ec463bc |
hex | 9d3541e9e |
42200211102 has 96 divisors (see below), whose sum is σ = 101003352480. Its totient is φ = 11711589120.
The previous prime is 42200211077. The next prime is 42200211107. The reversal of 42200211102 is 20111200224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42200211107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7187424 + ... + 7193292.
It is an arithmetic number, because the mean of its divisors is an integer number (1052118255).
Almost surely, 242200211102 is an apocalyptic number.
42200211102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 42200211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50501676240).
42200211102 is an abundant number, since it is smaller than the sum of its proper divisors (58803141378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42200211102 is a wasteful number, since it uses less digits than its factorization.
42200211102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6586 (or 6579 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 42200211102 its reverse (20111200224), we get a palindrome (62311411326).
The spelling of 42200211102 in words is "forty-two billion, two hundred million, two hundred eleven thousand, one hundred two".
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