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133202322133 = 53257183047
BaseRepresentation
bin111110000001101111…
…0100010001011010101
3110201211002200001202021
41330003132202023111
54140244243302013
6141105312013141
712423610025326
oct1740336421325
9421732601667
10133202322133
1151544269151
12219952311b1
13c73a4772ba
1466388da44d
1536e906ea8d
hex1f037a22d5

133202322133 has 12 divisors (see below), whose sum is σ = 136002394528. Its totient is φ = 130458622320.

The previous prime is 133202322119. The next prime is 133202322137. The reversal of 133202322133 is 331223202331.

It is not a de Polignac number, because 133202322133 - 25 = 133202322101 is a prime.

It is a super-3 number, since 3×1332023221333 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133202322098 and 133202322107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202322137) 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 11 ways as a sum of consecutive naturals, for example, 1562416 + ... + 1645462.

Almost surely, 2133202322133 is an apocalyptic number.

It is an amenable number.

133202322133 is a deficient number, since it is larger than the sum of its proper divisors (2800072395).

133202322133 is an frugal number, since it uses more digits than its factorization.

133202322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83724 (or 83671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 133202322133 its reverse (331223202331), we get a palindrome (464425524464).

The spelling of 133202322133 in words is "one hundred thirty-three billion, two hundred two million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 53 571 2809 30263 83047 1603939 4401491 47419837 233279023 2513251361 133202322133