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33421310102133 = 343759191989581
BaseRepresentation
bin1111001100101100000010…
…10100010000101001110101
311101100001020120020202110000
413212112001110100221311
513340033320341232013
6155025312104221513
710016416135415052
oct746260124205165
9141301216222400
1033421310102133
11a715997296288
1238b933516a899
131585801519275
1483785871c029
153ce571bba973
hex1e6581510a75

33421310102133 has 80 divisors (see below), whose sum is σ = 52417129374720. Its totient is φ = 21199653590400.

The previous prime is 33421310102119. The next prime is 33421310102137. The reversal of 33421310102133 is 33120101312433.

33421310102133 is a `hidden beast` number, since 3 + 3 + 421 + 3 + 1 + 0 + 102 + 133 = 666.

It is not a de Polignac number, because 33421310102133 - 28 = 33421310101877 is a prime.

It is a super-2 number, since 2×334213101021332 (a number of 28 digits) contains 22 as substring.

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 = 33421310102097 and 33421310102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33421310102137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33278403 + ... + 34267983.

It is an arithmetic number, because the mean of its divisors is an integer number (655214117184).

Almost surely, 233421310102133 is an apocalyptic number.

It is an amenable number.

33421310102133 is a deficient number, since it is larger than the sum of its proper divisors (18995819272587).

33421310102133 is a wasteful number, since it uses less digits than its factorization.

33421310102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989880 (or 989871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33421310102133 its reverse (33120101312433), we get a palindrome (66541411414566).

The spelling of 33421310102133 in words is "thirty-three trillion, four hundred twenty-one billion, three hundred ten million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 59 81 111 177 191 333 531 573 999 1593 1719 2183 2997 4779 5157 6549 7067 11269 15471 19647 21201 33807 58941 63603 101421 176823 190809 304263 416953 572427 912789 989581 1250859 2968743 3752577 8906229 11257731 26718687 33773193 36614497 58385279 80156061 109843491 175155837 189009971 329530473 525467511 567029913 988591419 1576402533 1701089739 2160255323 2965774257 4729207599 5103269217 6480765969 6993368927 11151588289 15309807651 19442297907 20980106781 33454764867 58326893721 62940320343 100364294601 174980681163 188820961029 301092883803 412608766693 566462883087 903278651409 1237826300079 3713478900237 11140436700711 33421310102133