Base | Representation |
---|---|
bin | 111111100000110… |
… | …0111111010000000 |
3 | 12111112002201120000 |
4 | 1333001213322000 |
5 | 13331032211112 |
6 | 551245320000 |
7 | 103545215631 |
oct | 17701477200 |
9 | 5445081500 |
10 | 2131132032 |
11 | 9a3a72047 |
12 | 4b5866000 |
13 | 27c69b193 |
14 | 163071888 |
15 | c71667dc |
hex | 7f067e80 |
2131132032 has 80 divisors (see below), whose sum is σ = 6342245250. Its totient is φ = 710373888.
The previous prime is 2131132021. The next prime is 2131132043. The reversal of 2131132032 is 2302311312.
2131132032 is a `hidden beast` number, since 2 + 1 + 311 + 320 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (2131132021) and next prime (2131132043).
It can be written as a sum of positive squares in only one way, i.e., 2103506496 + 27625536 = 45864^2 + 5256^2 .
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 = 2131131996 and 2131132014.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92407 + ... + 113142.
Almost surely, 22131132032 is an apocalyptic number.
It is an amenable number.
2131132032 is an abundant number, since it is smaller than the sum of its proper divisors (4211113218).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131132032 is an equidigital number, since it uses as much as digits as its factorization.
2131132032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205575 (or 205554 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2131132032 is about 46164.1855987951. The cubic root of 2131132032 is about 1286.8762493691.
Adding to 2131132032 its reverse (2302311312), we get a palindrome (4433443344).
The spelling of 2131132032 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, thirty-two".
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