Search a number
-
+
133141330 = 2572437189
BaseRepresentation
bin1111110111110…
…01001101010010
3100021112021120101
413323321031102
5233041010310
621113403014
73204453100
oct773711522
9307467511
10133141330
1169178063
123870946a
132177856a
141397ac70
15ba4e43a
hex7ef9352

133141330 has 96 divisors (see below), whose sum is σ = 292533120. Its totient is φ = 43464960.

The previous prime is 133141313. The next prime is 133141343. The reversal of 133141330 is 33141331.

It is a super-2 number, since 2×1331413302 = 35453227508337800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133141298 and 133141307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495926 + ... + 1496014.

It is an arithmetic number, because the mean of its divisors is an integer number (3047220).

Almost surely, 2133141330 is an apocalyptic number.

133141330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133141330 is an abundant number, since it is smaller than the sum of its proper divisors (159391790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133141330 is a wasteful number, since it uses less digits than its factorization.

133141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 133141330 is about 11538.6884003339. The cubic root of 133141330 is about 510.6276138499.

Adding to 133141330 its reverse (33141331), we get a palindrome (166282661).

Subtracting from 133141330 its reverse (33141331), we obtain a palindrome (99999999).

The spelling of 133141330 in words is "one hundred thirty-three million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 43 49 70 71 86 89 98 142 178 215 245 301 355 430 445 490 497 602 623 710 890 994 1246 1505 2107 2485 3010 3053 3115 3479 3827 4214 4361 4970 6106 6230 6319 6958 7654 8722 10535 12638 15265 17395 19135 21070 21371 21805 26789 30530 31595 34790 38270 42742 43610 44233 53578 63190 88466 106855 133945 149597 187523 213710 221165 267890 271717 299194 309631 375046 442330 543434 619262 747985 937615 1358585 1495970 1548155 1875230 1902019 2717170 3096310 3804038 9510095 13314133 19020190 26628266 66570665 133141330