Base | Representation |
---|---|
bin | 10110100110001010… |
… | …01111111100110100 |
3 | 1011022110012001111200 |
4 | 23103011033330310 |
5 | 144321103200340 |
6 | 5323435532500 |
7 | 606424242651 |
oct | 132305177464 |
9 | 34273161450 |
10 | 12131303220 |
11 | 5165893733 |
12 | 24268ba130 |
13 | 11b441853a |
14 | 83123ac28 |
15 | 4b005a330 |
hex | 2d314ff34 |
12131303220 has 144 divisors (see below), whose sum is σ = 38014900560. Its totient is φ = 3129090048.
The previous prime is 12131303161. The next prime is 12131303221. The reversal of 12131303220 is 2230313121.
12131303220 is a `hidden beast` number, since 1 + 213 + 130 + 322 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3458851344 + 8672451876 = 58812^2 + 93126^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12131303193 and 12131303202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12131303221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146916 + ... + 1157444.
It is an arithmetic number, because the mean of its divisors is an integer number (263992365).
Almost surely, 212131303220 is an apocalyptic number.
12131303220 is a gapful number since it is divisible by the number (10) 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 12131303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007450280).
12131303220 is an abundant number, since it is smaller than the sum of its proper divisors (25883597340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12131303220 is a wasteful number, since it uses less digits than its factorization.
12131303220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10754 (or 10749 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12131303220 its reverse (2230313121), we get a palindrome (14361616341).
Subtracting from 12131303220 its reverse (2230313121), we obtain a palindrome (9900990099).
The spelling of 12131303220 in words is "twelve billion, one hundred thirty-one million, three hundred three thousand, two hundred twenty".
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