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133313122323 = 3342307116707
BaseRepresentation
bin111110000101000010…
…1001101000000010011
3110202002211011022001000
41330022011031000103
54141011124403243
6141124310513043
712426423562053
oct1741205150023
9422084138030
10133313122323
11515a0866a57
1221a06365783
13c7573cc944
1466494dd563
153703b595d3
hex1f0a14d013

133313122323 has 16 divisors (see below), whose sum is σ = 197507282560. Its totient is φ = 88872552648.

The previous prime is 133313122309. The next prime is 133313122333. The reversal of 133313122323 is 323221313331.

133313122323 is a `hidden beast` number, since 1 + 3 + 3 + 313 + 1 + 22 + 323 = 666.

It is not a de Polignac number, because 133313122323 - 25 = 133313122291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133313122333) 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, 1083936 + ... + 1200642.

It is an arithmetic number, because the mean of its divisors is an integer number (12344205160).

Almost surely, 2133313122323 is an apocalyptic number.

133313122323 is a deficient number, since it is larger than the sum of its proper divisors (64194160237).

133313122323 is a wasteful number, since it uses less digits than its factorization.

133313122323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159023 (or 159017 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133313122323 its reverse (323221313331), we get a palindrome (456534435654).

The spelling of 133313122323 in words is "one hundred thirty-three billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 27 42307 116707 126921 350121 380763 1050363 1142289 3151089 4937523049 14812569147 44437707441 133313122323