Search a number
-
+
300322211121 = 32937124928513
BaseRepresentation
bin1000101111011001001…
…10010100010100110001
31001201011222020001022100
410113230212110110301
514410024441223441
6345544403131013
730461156450352
oct4275446242461
91051158201270
10300322211121
11106403071289
124a255373a69
132242180538a
141076dc57d29
157c2ab08cb6
hex45ec994531

300322211121 has 24 divisors (see below), whose sum is σ = 434624645000. Its totient is φ = 199833993216.

The previous prime is 300322211099. The next prime is 300322211177. The reversal of 300322211121 is 121112223003.

300322211121 is a `hidden beast` number, since 300 + 32 + 2 + 211 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37660836096 + 262661375025 = 194064^2 + 512505^2 .

It is not a de Polignac number, because 300322211121 - 215 = 300322178353 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 300322211094 and 300322211103.

It is not an unprimeable number, because it can be changed into a prime (300322211921) 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, 10518561 + ... + 10547073.

Almost surely, 2300322211121 is an apocalyptic number.

It is an amenable number.

300322211121 is a deficient number, since it is larger than the sum of its proper divisors (134302433879).

300322211121 is a wasteful number, since it uses less digits than its factorization.

300322211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30705 (or 30702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 300322211121 its reverse (121112223003), we get a palindrome (421434434124).

The spelling of 300322211121 in words is "three hundred billion, three hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 937 1249 2811 3747 8433 11241 28513 85539 256617 1170313 3510939 10532817 26716681 35612737 80150043 106838211 240450129 320514633 33369134569 100107403707 300322211121