Base | Representation |
---|---|
bin | 1010111100010111100001… |
… | …1000111100011011101000 |
3 | 1120121021021022201022121100 |
4 | 2233011320120330123220 |
5 | 3034113443114413000 |
6 | 41331305501041400 |
7 | 2351204464500642 |
oct | 257057030743350 |
9 | 46537238638540 |
10 | 12032223201000 |
11 | 3919923354732 |
12 | 1423b13256260 |
13 | 69383154a722 |
14 | 2d85113c3892 |
15 | 15cebbceaa00 |
hex | af17863c6e8 |
12032223201000 has 96 divisors (see below), whose sum is σ = 40668914449800. Its totient is φ = 3208592851200.
The previous prime is 12032223200999. The next prime is 12032223201049. The reversal of 12032223201000 is 10232223021.
12032223201000 is a `hidden beast` number, since 1 + 20 + 3 + 222 + 320 + 100 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2668145834916 + 9364077366084 = 1633446^2 + 3060078^2 .
It is a super-3 number, since 3×120322232010003 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 668447845 + ... + 668465844.
Almost surely, 212032223201000 is an apocalyptic number.
12032223201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12032223201000 is an abundant number, since it is smaller than the sum of its proper divisors (28636691248800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12032223201000 is a wasteful number, since it uses less digits than its factorization.
12032223201000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1336913716 (or 1336913699 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 12032223201000 its reverse (10232223021), we get a palindrome (12042455424021).
The spelling of 12032223201000 in words is "twelve trillion, thirty-two billion, two hundred twenty-three million, two hundred one thousand".
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