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2300221131 = 313464312703
BaseRepresentation
bin1000100100011010…
…1001011011001011
312221022021100012020
42021012221123023
514202324034011
61020125415523
7111000362025
oct21106513313
95838240166
102300221131
11a804621aa
1254240a5a3
132a87219c0
1417b6c9015
15d6e17006
hex891a96cb

2300221131 has 16 divisors (see below), whose sum is σ = 3303853056. Its totient is φ = 1415104416.

The previous prime is 2300221129. The next prime is 2300221199. The reversal of 2300221131 is 1311220032.

It is not a de Polignac number, because 2300221131 - 21 = 2300221129 is a prime.

It is a super-3 number, since 3×23002211313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2300221131.

It is not an unprimeable number, because it can be changed into a prime (2300221331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174726 + ... + 187428.

It is an arithmetic number, because the mean of its divisors is an integer number (206490816).

Almost surely, 22300221131 is an apocalyptic number.

2300221131 is a deficient number, since it is larger than the sum of its proper divisors (1003631925).

2300221131 is a wasteful number, since it uses less digits than its factorization.

2300221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2300221131 is about 47960.6206277609. The cubic root of 2300221131 is about 1320.0484239582.

Adding to 2300221131 its reverse (1311220032), we get a palindrome (3611441163).

The spelling of 2300221131 in words is "two billion, three hundred million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 39 4643 12703 13929 38109 60359 165139 181077 495417 58980029 176940087 766740377 2300221131