Base | Representation |
---|---|
bin | 1001000111010111101011… |
… | …1111010010000111100000 |
3 | 1022111010002220001110120221 |
4 | 2101311322333102013200 |
5 | 2303201002330024300 |
6 | 33152051214012424 |
7 | 2053040002231435 |
oct | 221657277220740 |
9 | 38433086043527 |
10 | 10022222111200 |
11 | 3214445115082 |
12 | 115a459aa7114 |
13 | 579126006b50 |
14 | 2691145a9b8c |
15 | 125a7ace731a |
hex | 91d7afd21e0 |
10022222111200 has 432 divisors, whose sum is σ = 26959682282400. Its totient is φ = 3616605757440.
The previous prime is 10022222111197. The next prime is 10022222111201. The reversal of 10022222111200 is 211122222001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022222111201) 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 71 ways as a sum of consecutive naturals, for example, 10195545909 + ... + 10195546891.
It is an arithmetic number, because the mean of its divisors is an integer number (62406671950).
Almost surely, 210022222111200 is an apocalyptic number.
10022222111200 is a gapful number since it is divisible by the number (10) 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 10022222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479841141200).
10022222111200 is an abundant number, since it is smaller than the sum of its proper divisors (16937460171200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022222111200 is a wasteful number, since it uses less digits than its factorization.
10022222111200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1471 (or 1405 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 10022222111200 its reverse (211122222001), we get a palindrome (10233344333201).
It can be divided in two parts, 10022 and 222111200, that added together give a palindrome (222121222).
The spelling of 10022222111200 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".
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