Search a number
-
+
33122033022133 = 115036439309907
BaseRepresentation
bin1111000011111110100110…
…00000110011010010110101
311100021102202102121212111201
413201333103000303102311
513320132410423202013
6154240015113532501
76655662566254036
oct741772300632265
9140242672555451
1033122033022133
11a60aa80173530
12386b331a14131
1315635183c3293
148271875dca8d
153c68a7c0a3dd
hex1e1fd30334b5

33122033022133 has 16 divisors (see below), whose sum is σ = 36261272388096. Its totient is φ = 30004337453040.

The previous prime is 33122033022131. The next prime is 33122033022137.

33122033022133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33122033022133 - 21 = 33122033022131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122033022131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097235 + ... + 8212672.

It is an arithmetic number, because the mean of its divisors is an integer number (2266329524256).

Almost surely, 233122033022133 is an apocalyptic number.

It is an amenable number.

33122033022133 is a deficient number, since it is larger than the sum of its proper divisors (3139239365963).

33122033022133 is a wasteful number, since it uses less digits than its factorization.

33122033022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311064.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 3312203 and 3022133, that added together give a palindrome (6334336).

The spelling of 33122033022133 in words is "thirty-three trillion, one hundred twenty-two billion, thirty-three million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 11 503 643 5533 7073 323429 3557719 9309907 102408977 4682883221 5986270201 51511715431 65848972211 3011093911103 33122033022133