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1230303321 = 3213101104113
BaseRepresentation
bin100100101010100…
…1111000001011001
310011202000212212200
41021111033001121
510004424201241
6322025400413
742326256102
oct11125170131
93152025780
101230303321
11581524105
122a4039109
13167b74540
14b957b3a9
15730244b6
hex4954f059

1230303321 has 24 divisors (see below), whose sum is σ = 1932772296. Its totient is φ = 749606400.

The previous prime is 1230303307. The next prime is 1230303329. The reversal of 1230303321 is 1233030321.

1230303321 is a `hidden beast` number, since 12 + 30 + 303 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122412096 + 1107891225 = 11064^2 + 33285^2 .

It is not a de Polignac number, because 1230303321 - 215 = 1230270553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1230303294 and 1230303303.

It is not an unprimeable number, because it can be changed into a prime (1230303329) 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, 40240 + ... + 63873.

It is an arithmetic number, because the mean of its divisors is an integer number (80532179).

Almost surely, 21230303321 is an apocalyptic number.

It is an amenable number.

1230303321 is a deficient number, since it is larger than the sum of its proper divisors (702468975).

1230303321 is a wasteful number, since it uses less digits than its factorization.

1230303321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104233 (or 104230 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1230303321 is about 35075.6799078792. The cubic root of 1230303321 is about 1071.5293357955.

Adding to 1230303321 its reverse (1233030321), we get a palindrome (2463333642).

The spelling of 1230303321 in words is "one billion, two hundred thirty million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 104113 312339 937017 1353469 4060407 10515413 12181221 31546239 94638717 136700369 410101107 1230303321