Base | Representation |
---|---|
bin | 111111100010101… |
… | …1001101000001010 |
3 | 12111120222000201000 |
4 | 1333011121220022 |
5 | 13331310401442 |
6 | 551322435430 |
7 | 103556511324 |
oct | 17705315012 |
9 | 5446860630 |
10 | 2132122122 |
11 | 9a45889a9 |
12 | 4b6062b76 |
13 | 27c956a30 |
14 | 16324c614 |
15 | c72aed4c |
hex | 7f159a0a |
2132122122 has 64 divisors (see below), whose sum is σ = 5109471360. Its totient is φ = 655143552.
The previous prime is 2132122043. The next prime is 2132122127. The reversal of 2132122122 is 2212212312.
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 = 2132122095 and 2132122104.
It is not an unprimeable number, because it can be changed into a prime (2132122127) 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, 667413 + ... + 670599.
It is an arithmetic number, because the mean of its divisors is an integer number (79835490).
Almost surely, 22132122122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554735680).
2132122122 is an abundant number, since it is smaller than the sum of its proper divisors (2977349238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132122122 is a wasteful number, since it uses less digits than its factorization.
2132122122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4164 (or 4158 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 2132122122 is about 46174.9079262753. The cubic root of 2132122122 is about 1287.0755059184.
Adding to 2132122122 its reverse (2212212312), we get a palindrome (4344334434).
The spelling of 2132122122 in words is "two billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-two".
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