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21332100132333 = 341726358903883
BaseRepresentation
bin1001101100110110001000…
…10000000010110111101101
32210112022212201212122020000
410312123010100002313231
510244001120113213313
6113211455335014513
74331123220230034
oct466330420026755
983468781778200
1021332100132333
116884990441811
12248637920a439
13bb97ba8a9403
1453a69cb3371b
1526ed6be76673
hex1366c4402ded

21332100132333 has 40 divisors (see below), whose sum is σ = 33869262068928. Its totient is φ = 13333953960576.

The previous prime is 21332100132289. The next prime is 21332100132361. The reversal of 21332100132333 is 33323100123312.

21332100132333 is a `hidden beast` number, since 2 + 1 + 3 + 321 + 0 + 0 + 1 + 3 + 2 + 333 = 666.

It is not a de Polignac number, because 21332100132333 - 237 = 21194661178861 is a prime.

It is a super-2 number, since 2×213321001323332 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21332100132297 and 21332100132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332100132533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29089791 + ... + 29814092.

Almost surely, 221332100132333 is an apocalyptic number.

It is an amenable number.

21332100132333 is a deficient number, since it is larger than the sum of its proper divisors (12537161936595).

21332100132333 is a wasteful number, since it uses less digits than its factorization.

21332100132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58904175 (or 58904166 counting only the distinct ones).

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

Adding to 21332100132333 its reverse (33323100123312), we get a palindrome (54655200255645).

The spelling of 21332100132333 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 17 27 51 81 153 263 459 789 1377 2367 4471 7101 13413 21303 40239 120717 362151 58903883 176711649 530134947 1001366011 1590404841 3004098033 4771214523 9012294099 15491721229 27036882297 46475163687 81110646891 139425491061 263359260893 418276473183 790077782679 1254829419549 2370233348037 7110700044111 21332100132333