Search a number
-
+
132212313233022 = 231119235449841259
BaseRepresentation
bin11110000011111100010011…
…111101110001011001111110
3122100010101002102122212111210
4132003330103331301121332
5114312131304141424042
61145105255340225250
736564011242003221
oct3603742375613176
9570111072585453
10132212313233022
1139143a22063450
12129b377023b226
1358a074c152309
1424911781a75b8
15104422b9e0a9c
hex783f13f7167e

132212313233022 has 128 divisors (see below), whose sum is σ = 316906007040000. Its totient is φ = 36298734785280.

The previous prime is 132212313232991. The next prime is 132212313233027. The reversal of 132212313233022 is 220332313212231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212313233027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156739429 + ... + 157580687.

It is an arithmetic number, because the mean of its divisors is an integer number (2475828180000).

Almost surely, 2132212313233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212313233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158453003520000).

132212313233022 is an abundant number, since it is smaller than the sum of its proper divisors (184693693806978).

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

132212313233022 is a wasteful number, since it uses less digits than its factorization.

132212313233022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846766.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132212313233022 its reverse (220332313212231), we get a palindrome (352544626445253).

The spelling of 132212313233022 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred thirteen million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 5449 9614 10898 14421 16347 28842 32694 59939 103531 119878 125327 179817 207062 250654 310593 359634 375981 621186 751962 841259 1138841 1378597 1682518 2277682 2381213 2523777 2757194 3416523 4135791 4762426 5047554 6833046 7143639 8271582 9253849 14287278 15983921 18507698 19348957 26193343 27761547 31967842 38697914 47951763 52386686 55523094 58046871 78580029 95903526 116093742 157160058 175823131 212838527 351646262 367630183 425677054 527469393 638515581 735260366 1054938786 1102890549 1277031162 2205781098 4043932013 4584020291 8087864026 9168040582 12131796039 13752060873 24263592078 27504121746 50424223201 87096385529 100848446402 105432466693 151272669603 174192771058 210864933386 261289156587 302545339206 316297400079 522578313174 632594800158 958060240819 1159757133623 1916120481638 2003216867167 2319514267246 2874180722457 3479271400869 4006433734334 5748361444914 6009650601501 6958542801738 12019301203002 22035385538837 44070771077674 66106156616511 132212313233022