Base | Representation |
---|---|
bin | 111111100010100… |
… | …0011011101100010 |
3 | 12111120210102011100 |
4 | 1333011003131202 |
5 | 13331300000310 |
6 | 551320455230 |
7 | 103555652532 |
oct | 17705033542 |
9 | 5446712140 |
10 | 2132031330 |
11 | 9a4526770 |
12 | 4b601a516 |
13 | 27c924600 |
14 | 1632274c2 |
15 | c7292ec0 |
hex | 7f143762 |
2132031330 has 144 divisors (see below), whose sum is σ = 6548682816. Its totient is φ = 477060480.
The previous prime is 2132031281. The next prime is 2132031331. The reversal of 2132031330 is 331302312.
2132031330 is a `hidden beast` number, since 2 + 1 + 320 + 313 + 30 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2132031331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160939 + ... + 173681.
It is an arithmetic number, because the mean of its divisors is an integer number (45476964).
Almost surely, 22132031330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274341408).
2132031330 is an abundant number, since it is smaller than the sum of its proper divisors (4416651486).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132031330 is a wasteful number, since it uses less digits than its factorization.
2132031330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12793 (or 12777 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 2132031330 is about 46173.9247844495. The cubic root of 2132031330 is about 1287.0572365117.
Adding to 2132031330 its reverse (331302312), we get a palindrome (2463333642).
It can be divided in two parts, 21320 and 31330, that added together give a triangular number (52650 = T324).
The spelling of 2132031330 in words is "two billion, one hundred thirty-two million, thirty-one thousand, three hundred thirty".
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