Base | Representation |
---|---|
bin | 111111100000110… |
… | …1000001110000000 |
3 | 12111112002210022102 |
4 | 1333001220032000 |
5 | 13331032231222 |
6 | 551245325532 |
7 | 103545222440 |
oct | 17701501600 |
9 | 5445083272 |
10 | 2131133312 |
11 | 9a3a73000 |
12 | 4b58668a8 |
13 | 27c69b939 |
14 | 163072120 |
15 | c7166d92 |
hex | 7f068380 |
2131133312 has 128 divisors (see below), whose sum is σ = 5339969280. Its totient is φ = 829847040.
The previous prime is 2131133299. The next prime is 2131133327. The reversal of 2131133312 is 2133311312.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191683 + ... + 1193469.
It is an arithmetic number, because the mean of its divisors is an integer number (41718510).
Almost surely, 22131133312 is an apocalyptic number.
2131133312 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 2131133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669984640).
2131133312 is an abundant number, since it is smaller than the sum of its proper divisors (3208835968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131133312 is an equidigital number, since it uses as much as digits as its factorization.
2131133312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1841 (or 1807 counting only the distinct ones).
The product of its digits is 324, while the sum is 20.
The square root of 2131133312 is about 46164.1994623539. The cubic root of 2131133312 is about 1286.8765070101.
Adding to 2131133312 its reverse (2133311312), we get a palindrome (4264444624).
The spelling of 2131133312 in words is "two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".
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