Search a number
-
+
2301222131 = 13247289717
BaseRepresentation
bin1000100100101001…
…1101110011110011
312221101011012022022
42021022131303303
514203103102011
61020203102055
7111012031265
oct21112356363
95841135268
102301222131
11a80a8627a
1254281192b
132a89b2500
1417b8a9b35
15d70638db
hex8929dcf3

2301222131 has 12 divisors (see below), whose sum is σ = 2544882912. Its totient is φ = 2079002016.

The previous prime is 2301222089. The next prime is 2301222139. The reversal of 2301222131 is 1312221032.

It is not a de Polignac number, because 2301222131 - 210 = 2301221107 is a prime.

It is a super-2 number, since 2×23012221312 = 10591246592408362322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2301222139) 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 11 ways as a sum of consecutive naturals, for example, 136916 + ... + 152801.

It is an arithmetic number, because the mean of its divisors is an integer number (212073576).

Almost surely, 22301222131 is an apocalyptic number.

2301222131 is a deficient number, since it is larger than the sum of its proper divisors (243660781).

2301222131 is a wasteful number, since it uses less digits than its factorization.

2301222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289790 (or 289777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2301222131 is about 47971.0551374472. The cubic root of 2301222131 is about 1320.2398804556.

Adding to 2301222131 its reverse (1312221032), we get a palindrome (3613443163).

The spelling of 2301222131 in words is "two billion, three hundred one million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 13 47 169 611 7943 289717 3766321 13616699 48962173 177017087 2301222131