Search a number
-
+
32223221332133 = 13294114913991281
BaseRepresentation
bin1110101001110100011011…
…01010010011100010100101
311020002111202200212012010212
413110322031222103202211
513210421124130112013
6152311051000025205
76534023315043116
oct724721552234245
9136074680765125
1032223221332133
11a2a3878425617
1237450ab762205
1314c9837b977b0
147d587dd8220d
153ad2eebaa6a8
hex1d4e8da938a5

32223221332133 has 32 divisors (see below), whose sum is σ = 37020932172000. Its totient is φ = 27830334873600.

The previous prime is 32223221332121. The next prime is 32223221332147. The reversal of 32223221332133 is 33123312232223.

It can be written as a sum of positive squares in 16 ways, for example, as 16192310417089 + 16030910915044 = 4023967^2 + 4003862^2 .

It is a cyclic number.

It is not a de Polignac number, because 32223221332133 - 28 = 32223221331877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32223221332133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223221332103) 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 31 ways as a sum of consecutive naturals, for example, 4692548 + ... + 9298733.

It is an arithmetic number, because the mean of its divisors is an integer number (1156904130375).

Almost surely, 232223221332133 is an apocalyptic number.

It is an amenable number.

32223221332133 is a deficient number, since it is larger than the sum of its proper divisors (4797710839867).

32223221332133 is a wasteful number, since it uses less digits than its factorization.

32223221332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13991513.

The product of its digits is 46656, while the sum is 32.

Adding to 32223221332133 its reverse (33123312232223), we get a palindrome (65346533564356).

The spelling of 32223221332133 in words is "thirty-two trillion, two hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 29 41 149 377 533 1189 1937 4321 6109 15457 56173 79417 177161 2303093 13991281 181886653 405747149 573642521 2084700869 5274712937 7457352773 16635633109 27101111297 60456325201 85472735629 216263230417 785932227613 1111145563177 2478709333241 32223221332133