Search a number
-
+
133230012210333 = 33193163332324709
BaseRepresentation
bin11110010010110000000111…
…100011010001110010011101
3122110201122221121211111112000
4132102300013203101302131
5114430320031111212313
61151205004521232513
740030356621405213
oct3622600743216235
9573648847744460
10133230012210333
11394a6592658a15
1212b38a51632739
1359456c8182c9c
1424c851d07ccb3
151060941e9d673
hex792c078d1c9d

133230012210333 has 64 divisors (see below), whose sum is σ = 207902744448000. Its totient is φ = 84089950452288.

The previous prime is 133230012210331. The next prime is 133230012210353. The reversal of 133230012210333 is 333012210032331.

133230012210333 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 300 + 1 + 2 + 21 + 0 + 333 = 666.

It is not a de Polignac number, because 133230012210333 - 21 = 133230012210331 is a prime.

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 = 133230012210297 and 133230012210306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133230012210331) 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 63 ways as a sum of consecutive naturals, for example, 5391950583 + ... + 5391975291.

It is an arithmetic number, because the mean of its divisors is an integer number (3248480382000).

Almost surely, 2133230012210333 is an apocalyptic number.

It is an amenable number.

133230012210333 is a deficient number, since it is larger than the sum of its proper divisors (74672732237667).

133230012210333 is a wasteful number, since it uses less digits than its factorization.

133230012210333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31223 (or 31217 counting only the distinct ones).

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

Adding to 133230012210333 its reverse (333012210032331), we get a palindrome (466242222242664).

The spelling of 133230012210333 in words is "one hundred thirty-three trillion, two hundred thirty billion, twelve million, two hundred ten thousand, three hundred thirty-three".

Divisors: 1 3 9 19 27 57 171 513 3163 3323 9489 9969 24709 28467 29907 60097 63137 74127 85401 89721 180291 189411 222381 469471 540873 568233 667143 1408413 1622619 1704699 4225239 10510649 12675717 31531947 78154567 82108007 94595841 199702331 234463701 246324021 283787523 599106993 703391103 738972063 1484936773 1560052133 1797320979 2110173309 2216916189 4454810319 4680156399 5391962937 13364430957 14040469197 40093292871 42121407591 259707626141 779122878423 2337368635269 4934444896679 7012105905807 14803334690037 44410004070111 133230012210333