Search a number
-
+
2301311144 = 231187729819
BaseRepresentation
bin1000100100101011…
…0011100010101000
312221101022201102002
42021022303202220
514203113424034
61020205030132
7111012551636
oct21112634250
95841281362
102301311144
11a81037140
12542855348
132a8a13b92
1417b8d0356
15d707ee7e
hex892b38a8

2301311144 has 32 divisors (see below), whose sum is σ = 4712752800. Its totient is φ = 1044822720.

The previous prime is 2301311137. The next prime is 2301311213. The reversal of 2301311144 is 4411131032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62267 + ... + 92085.

It is an arithmetic number, because the mean of its divisors is an integer number (147273525).

Almost surely, 22301311144 is an apocalyptic number.

It is an amenable number.

2301311144 is an abundant number, since it is smaller than the sum of its proper divisors (2411441656).

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

2301311144 is a wasteful number, since it uses less digits than its factorization.

2301311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30713 (or 30709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2301311144 is about 47971.9829066925. The cubic root of 2301311144 is about 1320.2569028594.

Adding to 2301311144 its reverse (4411131032), we get a palindrome (6712442176).

The spelling of 2301311144 in words is "two billion, three hundred one million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 877 1754 3508 7016 9647 19294 29819 38588 59638 77176 119276 238552 328009 656018 1312036 2624072 26151263 52302526 104605052 209210104 287663893 575327786 1150655572 2301311144