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201023313301332 = 223227971996417921
BaseRepresentation
bin101101101101010001100011…
…001011100100111101010100
3222100202122022100010220021100
4231231101203023210331110
5202322031221201120312
61551312500224550100
760225312050002224
oct5555214313447524
9870678270126240
10201023313301332
1159063565767625
121a6677b8a82330
1388225564c0a82
14378d81a3d2084
1518391273a05dc
hexb6d4632e4f54

201023313301332 has 36 divisors (see below), whose sum is σ = 508323938463796. Its totient is φ = 66983814051840.

The previous prime is 201023313301331. The next prime is 201023313301381. The reversal of 201023313301332 is 233103313320102.

201023313301332 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 23 + 3 + 1 + 3 + 301 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149778532467216 + 51244780834116 = 12238404^2 + 7158546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 201023313301296 and 201023313301305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201023313301331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 998108269 + ... + 998309652.

Almost surely, 2201023313301332 is an apocalyptic number.

It is an amenable number.

201023313301332 is an abundant number, since it is smaller than the sum of its proper divisors (307300625162464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201023313301332 is a wasteful number, since it uses less digits than its factorization.

201023313301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996420728 (or 1996420723 counting only the distinct ones).

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

Adding to 201023313301332 its reverse (233103313320102), we get a palindrome (434126626621434).

The spelling of 201023313301332 in words is "two hundred one trillion, twenty-three billion, three hundred thirteen million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2797 5594 8391 11188 16782 25173 33564 50346 100692 1996417921 3992835842 5989253763 7985671684 11978507526 17967761289 23957015052 35935522578 71871045156 5583980925037 11167961850074 16751942775111 22335923700148 33503885550222 50255828325333 67007771100444 100511656650666 201023313301332