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3133133132301 = 332111997927527
BaseRepresentation
bin101101100101111101010…
…010011001001000001101
3102002112011102202010121000
4231211331102121020031
5402313124040213201
610355201432330513
7442234650131664
oct55457522311015
912075142663530
103133133132301
11aa8832a77547
1242727bb43a39
131995b7860373
14ab904541ddb
1556777697d86
hex2d97d49920d

3133133132301 has 32 divisors (see below), whose sum is σ = 4664080051200. Its totient is φ = 2078676537840.

The previous prime is 3133133132197. The next prime is 3133133132317. The reversal of 3133133132301 is 1032313313313.

3133133132301 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 331 + 323 + 0 + 1 = 666.

3133133132301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3133133132301 - 225 = 3133099577869 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133133132501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113806600 + ... + 113834126.

It is an arithmetic number, because the mean of its divisors is an integer number (145752501600).

Almost surely, 23133133132301 is an apocalyptic number.

It is an amenable number.

3133133132301 is a deficient number, since it is larger than the sum of its proper divisors (1530946918899).

3133133132301 is a wasteful number, since it uses less digits than its factorization.

3133133132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47726 (or 47720 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3133133132301 its reverse (1032313313313), we get a palindrome (4165446445614).

The spelling of 3133133132301 in words is "three trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 27 211 633 1899 5697 19979 27527 59937 82581 179811 247743 539433 743229 4215569 5808197 12646707 17424591 37940121 52273773 113820363 156821319 549961933 1649885799 4949657397 14848972191 116041967863 348125903589 1044377710767 3133133132301