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2301331014 = 2359748817
BaseRepresentation
bin1000100100101011…
…1000011001000110
312221101100201200000
42021022320121012
514203120043024
61020205302130
7111012663603
oct21112703106
95841321600
102301331014
11a81050064
12542864946
132a8a1cc38
1417b8d76aa
15d7085cc9
hex892b8646

2301331014 has 48 divisors (see below), whose sum is σ = 5224307088. Its totient is φ = 759186432.

The previous prime is 2301331013. The next prime is 2301331027. The reversal of 2301331014 is 4101331032.

It is a super-2 number, since 2×23013310142 = 10592248871996536392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301331013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22734 + ... + 71550.

It is an arithmetic number, because the mean of its divisors is an integer number (108839731).

Almost surely, 22301331014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301331014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612153544).

2301331014 is an abundant number, since it is smaller than the sum of its proper divisors (2922976074).

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

2301331014 is an equidigital number, since it uses as much as digits as its factorization.

2301331014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48931 (or 48919 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2301331014 is about 47972.1900062943. The cubic root of 2301331014 is about 1320.2607026395.

Adding to 2301331014 its sum of digits (18), we get a palindrome (2301331032).

Adding to 2301331014 its reverse (4101331032), we get a palindrome (6402662046).

The spelling of 2301331014 in words is "two billion, three hundred one million, three hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 873 1746 2619 5238 7857 15714 23571 47142 48817 97634 146451 292902 439353 878706 1318059 2636118 3954177 4735249 7908354 9470498 11862531 14205747 23725062 28411494 42617241 85234482 127851723 255703446 383555169 767110338 1150665507 2301331014