Search a number
-
+
132223220102133 = 3331715448442587
BaseRepresentation
bin11110000100000110011110…
…000100001011001111110101
3122100011102020112212020012000
4132010012132010023033311
5114312321123321232013
61145114301520245513
736564545440603356
oct3604063604131765
9570142215766160
10132223220102133
1139148609771666
12129b58b4a70899
1358a179999c914
1424918d0953d2d
1510446692d5973
hex78419e10b3f5

132223220102133 has 16 divisors (see below), whose sum is σ = 196504189719360. Its totient is φ = 87870741429168.

The previous prime is 132223220102123. The next prime is 132223220102153. The reversal of 132223220102133 is 331201022322231.

132223220102133 is a `hidden beast` number, since 1 + 3 + 2 + 223 + 220 + 1 + 0 + 213 + 3 = 666.

It is not a de Polignac number, because 132223220102133 - 228 = 132222951666677 is a prime.

It is a super-2 number, since 2×1322232201021332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132223220102097 and 132223220102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223220102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7724212735 + ... + 7724229852.

It is an arithmetic number, because the mean of its divisors is an integer number (12281511857460).

Almost surely, 2132223220102133 is an apocalyptic number.

It is an amenable number.

132223220102133 is a deficient number, since it is larger than the sum of its proper divisors (64280969617227).

132223220102133 is a wasteful number, since it uses less digits than its factorization.

132223220102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448442913 (or 15448442907 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132223220102133 its reverse (331201022322231), we get a palindrome (463424242424364).

The spelling of 132223220102133 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, two hundred twenty million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 317 951 2853 8559 15448442587 46345327761 139035983283 417107949849 4897156300079 14691468900237 44074406700711 132223220102133