Base | Representation |
---|---|
bin | 1010100011111000011100… |
… | …11110101101001101100000 |
3 | 10001020002221221021002120200 |
4 | 11101330032132231031200 |
5 | 11020441433030200000 |
6 | 121220320435305200 |
7 | 4614546560234226 |
oct | 521741636551540 |
9 | 101202857232520 |
10 | 23223131100000 |
11 | 7443969097787 |
12 | 273096b74b200 |
13 | cc5c16404310 |
14 | 5a40112ccb16 |
15 | 2a4148608500 |
hex | 151f0e7ad360 |
23223131100000 has 864 divisors, whose sum is σ = 89601055165440. Its totient is φ = 5671088640000.
The previous prime is 23223131099983. The next prime is 23223131100007. The reversal of 23223131100000 is 113132232.
23223131100000 is a `hidden beast` number, since 2 + 322 + 31 + 311 + 0 + 0 + 0 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23223131100007) 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 143 ways as a sum of consecutive naturals, for example, 1485892186 + ... + 1485907814.
It is an arithmetic number, because the mean of its divisors is an integer number (103704924960).
Almost surely, 223223131100000 is an apocalyptic number.
23223131100000 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 23223131100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800527582720).
23223131100000 is an abundant number, since it is smaller than the sum of its proper divisors (66377924065440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23223131100000 is a wasteful number, since it uses less digits than its factorization.
23223131100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15810 (or 15779 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 23223131100000 its reverse (113132232), we get a palindrome (23223244232232).
The spelling of 23223131100000 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred thirty-one million, one hundred thousand".
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