Search a number
-
+
33213132331011 = 3219210222570739
BaseRepresentation
bin1111000110101000010001…
…11101000101100000000011
311100121010220022001020220200
413203110020331011200003
513323130443334043021
6154345522524140243
76665366244514533
oct743241075054003
9140533808036820
1033213132331011
11a645679377656
123884b16997683
13156bca5bb3789
1482b74a4d94c3
153c8e3a833126
hex1e3508f45803

33213132331011 has 18 divisors (see below), whose sum is σ = 50632392875220. Its totient is φ = 20976715154376.

The previous prime is 33213132330913. The next prime is 33213132331013. The reversal of 33213132331011 is 11013323131233.

33213132331011 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 313 + 2 + 331 + 0 + 11 = 666.

It is not a de Polignac number, because 33213132331011 - 214 = 33213132314627 is a prime.

It is a super-2 number, since 2×332131323310112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33213132331013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5111282121 + ... + 5111288618.

It is an arithmetic number, because the mean of its divisors is an integer number (2812910715290).

Almost surely, 233213132331011 is an apocalyptic number.

33213132331011 is a deficient number, since it is larger than the sum of its proper divisors (17419260544209).

33213132331011 is a wasteful number, since it uses less digits than its factorization.

33213132331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222570783 (or 10222570761 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 33213132331011 its reverse (11013323131233), we get a palindrome (44226455462244).

The spelling of 33213132331011 in words is "thirty-three trillion, two hundred thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, eleven".

Divisors: 1 3 9 19 57 171 361 1083 3249 10222570739 30667712217 92003136651 194228844041 582686532123 1748059596369 3690348036779 11071044110337 33213132331011