Base | Representation |
---|---|
bin | 111111100000100… |
… | …1000010001000000 |
3 | 12111111212010210000 |
4 | 1333001020101000 |
5 | 13331014034212 |
6 | 551242440000 |
7 | 103544136036 |
oct | 17701102100 |
9 | 5444763700 |
10 | 2131002432 |
11 | 9a3993739 |
12 | 4b5803000 |
13 | 27c6541b0 |
14 | 16303a556 |
15 | c713d1dc |
hex | 7f048440 |
2131002432 has 280 divisors, whose sum is σ = 6891300416. Its totient is φ = 647212032.
The previous prime is 2131002407. The next prime is 2131002451. The reversal of 2131002432 is 2342001312.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6941223 + ... + 6941529.
Almost surely, 22131002432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2131002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445650208).
2131002432 is an abundant number, since it is smaller than the sum of its proper divisors (4760297984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131002432 is a wasteful number, since it uses less digits than its factorization.
2131002432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 428 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2131002432 is about 46162.7818919094. The cubic root of 2131002432 is about 1286.8501626790.
Adding to 2131002432 its reverse (2342001312), we get a palindrome (4473003744).
The spelling of 2131002432 in words is "two billion, one hundred thirty-one million, two thousand, four hundred thirty-two".
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