Base | Representation |
---|---|
bin | 1010011110000010000001… |
… | …10000010110001001110000 |
3 | 10000111220002111201011100111 |
4 | 11033001000300112021300 |
5 | 11004143240421401112 |
6 | 120544113431431104 |
7 | 4564202242511431 |
oct | 517010060261160 |
9 | 100456074634314 |
10 | 23022111122032 |
11 | 73766935a7a90 |
12 | 26b9a0a525494 |
13 | cacc8b9a18a9 |
14 | 5983c197d488 |
15 | 29dcd08585a7 |
hex | 14f040c16270 |
23022111122032 has 80 divisors (see below), whose sum is σ = 50255212032000. Its totient is φ = 10121957510400.
The previous prime is 23022111122027. The next prime is 23022111122039.
23022111122032 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 23022111121994 and 23022111122012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23022111122039) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9851118 + ... + 11961970.
It is an arithmetic number, because the mean of its divisors is an integer number (628190150400).
Almost surely, 223022111122032 is an apocalyptic number.
23022111122032 is a gapful number since it is divisible by the number (22) 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 23022111122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127606016000).
23022111122032 is an abundant number, since it is smaller than the sum of its proper divisors (27233100909968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23022111122032 is a wasteful number, since it uses less digits than its factorization.
23022111122032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2112902 (or 2112896 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
It can be divided in two parts, 2302211 and 1122032, that added together give a palindrome (3424243).
The spelling of 23022111122032 in words is "twenty-three trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, thirty-two".
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