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133422232113 = 3297152831881
BaseRepresentation
bin111110001000010010…
…1011011001000110001
3110202101102110122112100
41330100211123020301
54141222042411423
6141143205251013
712432220155312
oct1742045331061
9422342418470
10133422232113
115164740a835
1221a36a03a69
13c773bb2a51
146659bc2609
15370d50d343
hex1f1095b231

133422232113 has 12 divisors (see below), whose sum is σ = 194707817668. Its totient is φ = 88031162880.

The previous prime is 133422232087. The next prime is 133422232121. The reversal of 133422232113 is 311232224331.

133422232113 is a `hidden beast` number, since 1 + 3 + 3 + 422 + 23 + 211 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59463797904 + 73958434209 = 243852^2 + 271953^2 .

It is not a de Polignac number, because 133422232113 - 217 = 133422101041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133422232613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76415068 + ... + 76416813.

Almost surely, 2133422232113 is an apocalyptic number.

It is an amenable number.

133422232113 is a deficient number, since it is larger than the sum of its proper divisors (61285585555).

133422232113 is a wasteful number, since it uses less digits than its factorization.

133422232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152831984 (or 152831981 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 133422232113 its reverse (311232224331), we get a palindrome (444654456444).

The spelling of 133422232113 in words is "one hundred thirty-three billion, four hundred twenty-two million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 97 291 873 152831881 458495643 1375486929 14824692457 44474077371 133422232113