Search a number
-
+
133113020321331 = 341643370621251
BaseRepresentation
bin11110010001000011001010…
…010010101000111000110011
3122110022110222020221202120000
4132101003022102220320303
5114421410431200240311
61151035135523121043
740016045506636551
oct3621031222507063
9573273866852500
10133113020321331
1139460a077a4146
1212b1a241213183
13593767225cc6b
1424c29c1450bd1
15105c896140056
hex7910ca4a8e33

133113020321331 has 10 divisors (see below), whose sum is σ = 198847845171492. Its totient is φ = 88742013547500.

The previous prime is 133113020321317. The next prime is 133113020321419. The reversal of 133113020321331 is 133123020311331.

133113020321331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 3 + 0 + 2 + 0 + 321 + 331 = 666.

It is not a de Polignac number, because 133113020321331 - 25 = 133113020321299 is a prime.

It is a super-2 number, since 2×1331130203213312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 133113020321295 and 133113020321304.

It is not an unprimeable number, because it can be changed into a prime (133113020321431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 821685310545 + ... + 821685310706.

Almost surely, 2133113020321331 is an apocalyptic number.

133113020321331 is a deficient number, since it is larger than the sum of its proper divisors (65734824850161).

133113020321331 is an equidigital number, since it uses as much as digits as its factorization.

133113020321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643370621263 (or 1643370621254 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133113020321331 its reverse (133123020311331), we get a palindrome (266236040632662).

The spelling of 133113020321331 in words is "one hundred thirty-three trillion, one hundred thirteen billion, twenty million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 1643370621251 4930111863753 14790335591259 44371006773777 133113020321331