Search a number
-
+
2012003132133 = 331239464919471
BaseRepresentation
bin11101010001110100101…
…110110110001011100101
321010100022221212010210110
4131101310232312023211
5230431040300212013
64140145041443233
7265235212305261
oct35216456661345
97110287763713
102012003132133
117063163516a5
12285b33940519
13117967254717
146d54aa850a1
153750bb6b2c3
hex1d474bb62e5

2012003132133 has 32 divisors (see below), whose sum is σ = 2781536256000. Its totient is φ = 1292290876800.

The previous prime is 2012003132099. The next prime is 2012003132141. The reversal of 2012003132133 is 3312313002102.

It is not a de Polignac number, because 2012003132133 - 237 = 1874564178661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012003132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103323588 + ... + 103343058.

It is an arithmetic number, because the mean of its divisors is an integer number (86923008000).

Almost surely, 22012003132133 is an apocalyptic number.

It is an amenable number.

2012003132133 is a deficient number, since it is larger than the sum of its proper divisors (769533123867).

2012003132133 is a wasteful number, since it uses less digits than its factorization.

2012003132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24393.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2012003132133 its reverse (3312313002102), we get a palindrome (5324316134235).

It can be divided in two parts, 201200 and 3132133, that added together give a palindrome (3333333).

The spelling of 2012003132133 in words is "two trillion, twelve billion, three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 31 93 239 717 4649 7409 13947 19471 22227 58413 144119 432357 603601 1111111 1810803 3333333 4653569 13960707 34444441 90520679 103333323 144260639 271562037 432781917 2806141049 8418423147 21634442281 64903326843 670667710711 2012003132133