Search a number
-
+
32333130302130 = 2325772770594813
BaseRepresentation
bin1110101101000001001001…
…01111110000001010110010
311020111000110102222100211100
413112200210233300022302
513214221222324132010
6152433345054425230
76544664052631020
oct726404457601262
9136430412870740
1032333130302130
11a336449150519
123762463b02216
131507002571998
147dad0902b710
153b10d3cc12c0
hex1d6824bf02b2

32333130302130 has 96 divisors (see below), whose sum is σ = 96207742036224. Its totient is φ = 7380264025728.

The previous prime is 32333130302087. The next prime is 32333130302141. The reversal of 32333130302130 is 3120303133323.

32333130302130 is a `hidden beast` number, since 3 + 2 + 3 + 331 + 303 + 0 + 21 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32333130302094 and 32333130302103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34839397 + ... + 35755416.

It is an arithmetic number, because the mean of its divisors is an integer number (1002163979544).

Almost surely, 232333130302130 is an apocalyptic number.

32333130302130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32333130302130 is an abundant number, since it is smaller than the sum of its proper divisors (63874611734094).

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

32333130302130 is a wasteful number, since it uses less digits than its factorization.

32333130302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70595560 (or 70595557 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 32333130302130 its reverse (3120303133323), we get a palindrome (35453433435453).

The spelling of 32333130302130 in words is "thirty-two trillion, three hundred thirty-three billion, one hundred thirty million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 727 1454 2181 3635 4362 5089 6543 7270 10178 10905 13086 15267 21810 25445 30534 32715 45801 50890 65430 76335 91602 152670 229005 458010 70594813 141189626 211784439 352974065 423568878 494163691 635353317 705948130 988327382 1058922195 1270706634 1482491073 2117844390 2470818455 2964982146 3176766585 4447473219 4941636910 6353533170 7412455365 8894946438 14824910730 22237366095 44474732190 51322429051 102644858102 153967287153 256612145255 307934574306 359257003357 461901861459 513224290510 718514006714 769836435765 923803722918 1077771010071 1539672871530 1796285016785 2155542020142 2309509307295 3233313030213 3592570033570 4619018614590 5388855050355 6466626060426 10777710100710 16166565151065 32333130302130