Search a number
-
+
312032220320 = 2559829198413
BaseRepresentation
bin1001000101001101001…
…00011101010010100000
31002211102001200011001202
410202212210131102200
520103020222022240
6355202353220332
731354310053022
oct4424644352240
91084361604052
10312032220320
11110372065537
1250582b616a8
1323569864bc2
141116114a012
1581b3b96315
hex48a691d4a0

312032220320 has 48 divisors (see below), whose sum is σ = 737254836360. Its totient is φ = 124799560704.

The previous prime is 312032220281. The next prime is 312032220337. The reversal of 312032220320 is 23022230213.

It can be written as a sum of positive squares in 4 ways, for example, as 284639322256 + 27392898064 = 533516^2 + 165508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312032220292 and 312032220301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473434 + ... + 1671846.

Almost surely, 2312032220320 is an apocalyptic number.

It is an amenable number.

312032220320 is an abundant number, since it is smaller than the sum of its proper divisors (425222616040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312032220320 is a wasteful number, since it uses less digits than its factorization.

312032220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208257 (or 208249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312032220320 its reverse (23022230213), we get a palindrome (335054450533).

The spelling of 312032220320 in words is "three hundred twelve billion, thirty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 9829 19658 39316 49145 78632 98290 157264 196580 198413 314528 393160 396826 786320 793652 992065 1572640 1587304 1984130 3174608 3968260 6349216 7936520 15873040 31746080 1950201377 3900402754 7800805508 9751006885 15601611016 19502013770 31203222032 39004027540 62406444064 78008055080 156016110160 312032220320