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2304313121 = 11233726653
BaseRepresentation
bin1000100101011001…
…0000011100100001
312221120222020100102
42021112100130201
514204401004441
61020353232145
7111050224025
oct21126203441
95846866312
102304313121
11a827a7610
12543862655
132a95253b6
1417c072385
15d747469b
hex89590721

2304313121 has 24 divisors (see below), whose sum is σ = 2696307264. Its totient is φ = 1949302080.

The previous prime is 2304313097. The next prime is 2304313139. The reversal of 2304313121 is 1213134032.

It is not a de Polignac number, because 2304313121 - 26 = 2304313057 is a prime.

It is a super-2 number, since 2×23043131212 = 10619717919225521282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2304313093 and 2304313102.

It is not an unprimeable number, because it can be changed into a prime (2304313181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343031 + ... + 349683.

It is an arithmetic number, because the mean of its divisors is an integer number (112346136).

Almost surely, 22304313121 is an apocalyptic number.

It is an amenable number.

2304313121 is a deficient number, since it is larger than the sum of its proper divisors (391994143).

2304313121 is a wasteful number, since it uses less digits than its factorization.

2304313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2304313121 is about 48003.2615662728. The cubic root of 2304313121 is about 1320.8307291834.

Adding to 2304313121 its reverse (1213134032), we get a palindrome (3517447153).

Subtracting from 2304313121 its reverse (1213134032), we obtain a square (1091179089 = 330332).

The spelling of 2304313121 in words is "two billion, three hundred four million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 11 23 37 253 407 851 1369 6653 9361 15059 31487 73183 153019 246161 346357 1683209 2707771 5661703 9107957 62278733 100187527 209483011 2304313121