Search a number
-
+
1230221331 = 33597173149
BaseRepresentation
bin100100101010011…
…1011000000010011
310011201212201102000
41021110323000103
510004414040311
6322023525043
742325465053
oct11124730023
93151781360
101230221331
11581478549
122a3bb9783
13167b46121
14b9559563
157300a056
hex4953b013

1230221331 has 64 divisors (see below), whose sum is σ = 1918080000. Its totient is φ = 778740480.

The previous prime is 1230221327. The next prime is 1230221339. The reversal of 1230221331 is 1331220321.

1230221331 is a `hidden beast` number, since 12 + 302 + 21 + 331 = 666.

It is not a de Polignac number, because 1230221331 - 22 = 1230221327 is a prime.

It is a super-2 number, since 2×12302213312 = 3026889046494823122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1230221339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8256445 + ... + 8256593.

It is an arithmetic number, because the mean of its divisors is an integer number (29970000).

Almost surely, 21230221331 is an apocalyptic number.

1230221331 is a deficient number, since it is larger than the sum of its proper divisors (687858669).

1230221331 is a wasteful number, since it uses less digits than its factorization.

1230221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1230221331 is about 35074.5111298789. The cubic root of 1230221331 is about 1071.5055322775.

Adding to 1230221331 its reverse (1331220321), we get a palindrome (2561441652).

It can be divided in two parts, 12302 and 21331, that added together give a palindrome (33633).

The spelling of 1230221331 in words is "one billion, two hundred thirty million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 59 71 73 149 177 213 219 447 531 639 657 1341 1593 1917 1971 4023 4189 4307 5183 8791 10579 10877 12567 12921 15549 26373 31737 32631 37701 38763 46647 79119 95211 97893 113103 116289 139941 237357 285633 293679 305797 624161 641743 772267 917391 1872483 1925229 2316801 2752173 5617449 5775687 6950403 8256519 16852347 17327061 20851209 45563753 136691259 410073777 1230221331