Base | Representation |
---|---|
bin | 10101101001011101… |
… | …001101001000000100 |
3 | 2012222220212121222022 |
4 | 111221131031020010 |
5 | 340100442200400 |
6 | 14402253422312 |
7 | 1452003406454 |
oct | 255135151004 |
9 | 65886777868 |
10 | 23244100100 |
11 | 9948763491 |
12 | 460849a998 |
13 | 22658172b0 |
14 | 11a70add64 |
15 | 91097ab85 |
hex | 56974d204 |
23244100100 has 72 divisors (see below), whose sum is σ = 54378243528. Its totient is φ = 8573184000.
The previous prime is 23244100073. The next prime is 23244100109. The reversal of 23244100100 is 100144232.
It can be written as a sum of positive squares in 12 ways, for example, as 11977551364 + 11266548736 = 109442^2 + 106144^2 .
It is not an unprimeable number, because it can be changed into a prime (23244100109) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260950 + ... + 1279250.
Almost surely, 223244100100 is an apocalyptic number.
23244100100 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 23244100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189121764).
23244100100 is an abundant number, since it is smaller than the sum of its proper divisors (31134143428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23244100100 is a wasteful number, since it uses less digits than its factorization.
23244100100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19305 (or 19298 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
Adding to 23244100100 its reverse (100144232), we get a palindrome (23344244332).
The spelling of 23244100100 in words is "twenty-three billion, two hundred forty-four million, one hundred thousand, one hundred".
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