Search a number
-
+
132230220112002 = 23536738918618573
BaseRepresentation
bin11110000100001100111111…
…010011000110000010000010
3122100012002022101121120111210
4132010030333103012002002
5114312424442322041002
61145121420254550550
736565214056653405
oct3604147723060202
9570162271546453
10132230220112002
1139150581022691
12129b7129208456
1358a2343caa1ac
142491d964b3d3c
151044928b0296c
hex78433f4c6082

132230220112002 has 128 divisors (see below), whose sum is σ = 274354243188480. Its totient is φ = 42462357949440.

The previous prime is 132230220111989. The next prime is 132230220112013. The reversal of 132230220112002 is 200211022032231.

It is a super-2 number, since 2×1322302201120022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132230220112002.

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, 15424026988 + ... + 15424035560.

It is an arithmetic number, because the mean of its divisors is an integer number (2143392524910).

Almost surely, 2132230220112002 is an apocalyptic number.

132230220112002 is an abundant number, since it is smaller than the sum of its proper divisors (142124023076478).

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

132230220112002 is a wasteful number, since it uses less digits than its factorization.

132230220112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132230220112002 its reverse (200211022032231), we get a palindrome (332441242144233).

The spelling of 132230220112002 in words is "one hundred thirty-two trillion, two hundred thirty billion, two hundred twenty million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 53 67 106 134 159 201 318 389 402 778 1167 1861 2334 3551 3722 5583 7102 8573 10653 11166 17146 20617 21306 25719 26063 41234 51438 52126 61851 78189 98633 123702 124687 156378 197266 249374 295899 374061 454369 574391 591798 723929 748122 908738 1148782 1363107 1381339 1447858 1723173 2171787 2726214 2762678 3334897 3446346 4144017 4343574 6608411 6669794 8288034 10004691 13216822 15954353 19825233 20009382 30442723 31908706 38368237 39650466 47863059 48503243 60885446 76736474 91328169 95726118 97006486 115104711 145509729 176749541 182656338 223438099 230209422 291019458 353499082 446876198 530248623 670314297 845580709 1060497246 1068941651 1340628594 1691161418 2137883302 2536742127 2570671879 3206824953 5073484254 5141343758 6206243317 6413649906 7712015637 11842219247 12412486634 15424031274 18618729951 23684438494 35526657741 37237459902 56653907503 71053315482 113307815006 169961722509 328930895801 339923445018 415818302239 657861791602 831636604478 986792687403 1247454906717 1973585374806 2494909813434 22038370018667 44076740037334 66115110056001 132230220112002