Search a number
-
+
133312014 = 233112971109
BaseRepresentation
bin1111111001000…
…10111000001110
3100021211221201000
413330202320032
5233111441024
621121201130
73206063523
oct774427016
9307757630
10133312014
1169284320
12387901a6
1321808164
14139c314a
15ba84cc9
hex7f22e0e

133312014 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 38102400.

The previous prime is 133311991. The next prime is 133312051. The reversal of 133312014 is 410213331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222992 + ... + 1223100.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2133312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

133312014 is an abundant number, since it is smaller than the sum of its proper divisors (208831986).

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

133312014 is a wasteful number, since it uses less digits than its factorization.

133312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

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

The square root of 133312014 is about 11546.0821926747. The cubic root of 133312014 is about 510.8457248006.

Adding to 133312014 its reverse (410213331), we get a palindrome (543525345).

The spelling of 133312014 in words is "one hundred thirty-three million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 71 87 99 109 142 174 198 213 218 261 297 319 327 426 522 594 638 639 654 781 783 957 981 1199 1278 1562 1566 1914 1917 1962 2059 2343 2398 2871 2943 3161 3597 3834 4118 4686 5742 5886 6177 6322 7029 7194 7739 8613 9483 10791 12354 14058 15478 17226 18531 18966 21087 21582 22649 23217 28449 32373 34771 37062 42174 45298 46434 55593 56898 64746 67947 69542 69651 85129 85347 104313 111186 135894 139302 170258 170694 203841 208626 208953 224431 255387 312939 407682 417906 448862 510774 611523 625878 673293 766161 938817 1223046 1346586 1532322 1877634 2019879 2298483 2468741 4039758 4596966 4937482 6059637 7406223 12119274 14812446 22218669 44437338 66656007 133312014