Base | Representation |
---|---|
bin | 10101100111011111… |
… | …010111011001000000 |
3 | 2012220121210122210211 |
4 | 111213133113121000 |
5 | 340014021041000 |
6 | 14355114403504 |
7 | 1451123124316 |
oct | 254737273100 |
9 | 65817718724 |
10 | 23211112000 |
11 | 9931081a9a |
12 | 45b9430594 |
13 | 225ba371cb |
14 | 11a29640b6 |
15 | 90cb117ba |
hex | 5677d7640 |
23211112000 has 112 divisors (see below), whose sum is σ = 57552354288. Its totient is φ = 9273139200.
The previous prime is 23211111953. The next prime is 23211112033. The reversal of 23211112000 is 21111232.
It can be written as a sum of positive squares in 8 ways, for example, as 158155776 + 23052956224 = 12576^2 + 151832^2 .
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 10374882 + ... + 10377118.
Almost surely, 223211112000 is an apocalyptic number.
23211112000 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 23211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776177144).
23211112000 is an abundant number, since it is smaller than the sum of its proper divisors (34341242288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23211112000 is a wasteful number, since it uses less digits than its factorization.
23211112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3561 (or 3541 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
Adding to 23211112000 its reverse (21111232), we get a palindrome (23232223232).
The spelling of 23211112000 in words is "twenty-three billion, two hundred eleven million, one hundred twelve thousand".
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