Base | Representation |
---|---|
bin | 111110111100100… |
… | …1001000011111010 |
3 | 12110012100101111000 |
4 | 1331321021003322 |
5 | 13311201200242 |
6 | 545330145430 |
7 | 103224551160 |
oct | 17571110372 |
9 | 5405311430 |
10 | 2112131322 |
11 | 994274584 |
12 | 4ab422276 |
13 | 278777862 |
14 | 160727230 |
15 | c5661a4c |
hex | 7de490fa |
2112131322 has 64 divisors (see below), whose sum is σ = 5400288000. Its totient is φ = 599400000.
The previous prime is 2112131317. The next prime is 2112131327. The reversal of 2112131322 is 2231312112.
2112131322 is a `hidden beast` number, since 211 + 2 + 131 + 322 = 666.
It is an interprime number because it is at equal distance from previous prime (2112131317) and next prime (2112131327).
It is a super-2 number, since 2×21121313222 = 8922197442746935368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2112131295 and 2112131304.
It is not an unprimeable number, because it can be changed into a prime (2112131327) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37572 + ... + 75072.
It is an arithmetic number, because the mean of its divisors is an integer number (84379500).
Almost surely, 22112131322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2112131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700144000).
2112131322 is an abundant number, since it is smaller than the sum of its proper divisors (3288156678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112131322 is a wasteful number, since it uses less digits than its factorization.
2112131322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37668 (or 37662 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 2112131322 is about 45957.9299142161. The cubic root of 2112131322 is about 1283.0403236078.
Adding to 2112131322 its reverse (2231312112), we get a palindrome (4343443434).
The spelling of 2112131322 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twenty-two".
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