Base | Representation |
---|---|
bin | 100111011001110… |
… | …0010001010100010 |
3 | 10102010211021022200 |
4 | 1032303202022202 |
5 | 10201431212010 |
6 | 335105514030 |
7 | 44522636424 |
oct | 11663421242 |
9 | 3363737280 |
10 | 1322132130 |
11 | 619344490 |
12 | 30a942916 |
13 | 180bb6a07 |
14 | c7842814 |
15 | 7b112cc0 |
hex | 4ece22a2 |
1322132130 has 96 divisors (see below), whose sum is σ = 3775636800. Its totient is φ = 318330240.
The previous prime is 1322132111. The next prime is 1322132179. The reversal of 1322132130 is 312312231.
It is a super-3 number, since 3×13221321303 (a number of 28 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143029 + ... + 151991.
It is an arithmetic number, because the mean of its divisors is an integer number (39329550).
Almost surely, 21322132130 is an apocalyptic number.
1322132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1322132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887818400).
1322132130 is an abundant number, since it is smaller than the sum of its proper divisors (2453504670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1322132130 is a wasteful number, since it uses less digits than its factorization.
1322132130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9136 (or 9133 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1322132130 is about 36361.1348832789. The cubic root of 1322132130 is about 1097.5516150230.
Adding to 1322132130 its reverse (312312231), we get a palindrome (1634444361).
The spelling of 1322132130 in words is "one billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".
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