Base | Representation |
---|---|
bin | 1010100001001111000111… |
… | …11000110111001100011100 |
3 | 10000220102022100011122210010 |
4 | 11100213203320313030130 |
5 | 11012444242342120012 |
6 | 121110443550443220 |
7 | 4605151013441001 |
oct | 520474370671434 |
9 | 100812270148703 |
10 | 23132222223132 |
11 | 7409358430a90 |
12 | 271721a503510 |
13 | cba4891cb099 |
14 | 59d8698038a8 |
15 | 2a1ac7599c3c |
hex | 1509e3e3731c |
23132222223132 has 48 divisors (see below), whose sum is σ = 58891107711744. Its totient is φ = 7008682464000.
The previous prime is 23132222223067. The next prime is 23132222223133.
It is a happy number.
23132222223132 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23132222223132.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23132222223133) 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 15 ways as a sum of consecutive naturals, for example, 12664344 + ... + 14375327.
It is an arithmetic number, because the mean of its divisors is an integer number (1226898077328).
Almost surely, 223132222223132 is an apocalyptic number.
23132222223132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23132222223132 is an abundant number, since it is smaller than the sum of its proper divisors (35758885488612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23132222223132 is a wasteful number, since it uses less digits than its factorization.
23132222223132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27046170 (or 27046168 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
It can be divided in two parts, 2313222 and 2223132, that added together give a palindrome (4536354).
The spelling of 23132222223132 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-two".
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