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33134043133 = 1922310139511
BaseRepresentation
bin11110110110111100…
…010101111111111101
310011112011112210022201
4132312330111333331
51020324303340013
623115505311501
72252043501562
oct366674257775
9104464483281
1033134043133
1113063338024
126508635591
13318077c4a9
141864784869
15cddd493dd
hex7b6f15ffd

33134043133 has 24 divisors (see below), whose sum is σ = 36852368256. Its totient is φ = 29727324000.

The previous prime is 33134043077. The next prime is 33134043139.

33134043133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-33134043133 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 (33134043139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818848 + ... + 858358.

It is an arithmetic number, because the mean of its divisors is an integer number (1535515344).

Almost surely, 233134043133 is an apocalyptic number.

It is an amenable number.

33134043133 is a deficient number, since it is larger than the sum of its proper divisors (3718325123).

33134043133 is a wasteful number, since it uses less digits than its factorization.

33134043133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39673 (or 39654 counting only the distinct ones).

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

It can be divided in two parts, 331340 and 43133, that added together give a palindrome (374473).

The spelling of 33134043133 in words is "thirty-three billion, one hundred thirty-four million, forty-three thousand, one hundred thirty-three".

Divisors: 1 19 23 101 361 437 1919 2323 8303 36461 39511 44137 750709 838603 908753 3990611 14263471 17266307 75821609 91784053 328059833 1440610571 1743897007 33134043133