| Base | Representation |
|---|---|
| bin | 10010110101111100… |
| … | …001110001101000100 |
| 3 | 1221020000200221222100 |
| 4 | 102311330032031010 |
| 5 | 312413434111400 |
| 6 | 13143345032100 |
| 7 | 1314242661651 |
| oct | 226574161504 |
| 9 | 57200627870 |
| 10 | 20232332100 |
| 11 | 8642695622 |
| 12 | 3b07925630 |
| 13 | 1ba5872556 |
| 14 | d9d0c2c28 |
| 15 | 7d6360100 |
| hex | 4b5f0e344 |
20232332100 has 108 divisors (see below), whose sum is σ = 63509567940. Its totient is φ = 5387424000.
The previous prime is 20232332023. The next prime is 20232332101. The reversal of 20232332100 is 123323202.
It is a happy number.
20232332100 is a `hidden beast` number, since 2 + 0 + 232 + 332 + 100 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 1140277824 + 19092054276 = 33768^2 + 138174^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (20232332101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614866 + ... + 646934.
It is an arithmetic number, because the mean of its divisors is an integer number (588051555).
Almost surely, 220232332100 is an apocalyptic number.
20232332100 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 20232332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31754783970).
20232332100 is an abundant number, since it is smaller than the sum of its proper divisors (43277235840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20232332100 is a wasteful number, since it uses less digits than its factorization.
20232332100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32790 (or 32780 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 20232332100 its reverse (123323202), we get a palindrome (20355655302).
The spelling of 20232332100 in words is "twenty billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred".
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