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12233540532213 = 32711131971469703
BaseRepresentation
bin1011001000000101011111…
…0101100111011111110101
31121022111220110210100210200
42302001113311213133311
53100413242334012323
642004002210111113
72401562352540510
oct262012765473765
947274813710720
1012233540532213
113997240780310
121456b37b7b499
136a9805762310
1430416c417d77
15163350c35443
hexb2057d677f5

12233540532213 has 96 divisors (see below), whose sum is σ = 24974373365760. Its totient is φ = 5557484027520.

The previous prime is 12233540532197. The next prime is 12233540532217. The reversal of 12233540532213 is 31223504533221.

12233540532213 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 5 + 405 + 32 + 213 = 666.

It is not a de Polignac number, because 12233540532213 - 24 = 12233540532197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233540532217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35563681 + ... + 35906022.

It is an arithmetic number, because the mean of its divisors is an integer number (260149722560).

Almost surely, 212233540532213 is an apocalyptic number.

12233540532213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12233540532213 is an abundant number, since it is smaller than the sum of its proper divisors (12740832833547).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233540532213 is a wasteful number, since it uses less digits than its factorization.

12233540532213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71469759 (or 71469756 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 12233540532213 in words is "twelve trillion, two hundred thirty-three billion, five hundred forty million, five hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 133 143 171 209 231 247 273 399 429 627 693 741 819 1001 1197 1287 1463 1729 1881 2223 2717 3003 4389 5187 8151 9009 13167 15561 19019 24453 57057 171171 71469703 214409109 500287921 643227327 786166733 929106139 1357924357 1500863763 2358500199 2787318417 4073773071 4502591289 5503167131 6503742973 7075500597 8361955251 9505470499 10220167529 12221319213 14937167927 16509501393 17653016641 19511228919 28516411497 30660502587 44811503781 49528504179 52959049923 58533686757 71541172703 85549234491 91981507761 104560175489 123571116487 134434511343 158877149769 194183183051 214623518109 313680526467 370713349461 582549549153 643870554327 941041579401 1112140048383 1359282281357 1747648647459 4077846844071 12233540532213