Search a number
-
+
12133103310132 = 2237248742370697
BaseRepresentation
bin1011000010001111010101…
…0100000001010100110100
31120221220122211102211121120
42300203311110001110310
53042242043421411012
641445512023543540
72361405416332200
oct260436524012464
946856584384546
1012133103310132
113958690566852
12143b5878babb0
136a01ba4aacac
142dd3612a3b00
1516092343358c
hexb08f5501534

12133103310132 has 72 divisors (see below), whose sum is σ = 33000333395904. Its totient is φ = 3459482587008.

The previous prime is 12133103310061. The next prime is 12133103310143. The reversal of 12133103310132 is 23101330133121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20898993 + ... + 21471704.

It is an arithmetic number, because the mean of its divisors is an integer number (458337963832).

Almost surely, 212133103310132 is an apocalyptic number.

12133103310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133103310132 is an abundant number, since it is smaller than the sum of its proper divisors (20867230085772).

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

12133103310132 is a wasteful number, since it uses less digits than its factorization.

12133103310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42371205 (or 42371196 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12133103310132 its reverse (23101330133121), we get a palindrome (35234433443253).

The spelling of 12133103310132 in words is "twelve trillion, one hundred thirty-three billion, one hundred three million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 487 588 974 1461 1948 2922 3409 5844 6818 10227 13636 20454 23863 40908 47726 71589 95452 143178 286356 42370697 84741394 127112091 169482788 254224182 296594879 508448364 593189758 889784637 1186379516 1779569274 2076164153 3559138548 4152328306 6228492459 8304656612 12456984918 20634529439 24913969836 41269058878 61903588317 82538117756 123807176634 144441706073 247614353268 288883412146 433325118219 577766824292 866650236438 1011091942511 1733300472876 2022183885022 3033275827533 4044367770044 6066551655066 12133103310132