Search a number
-
+
13220001333 = 347112119609
BaseRepresentation
bin11000100111111100…
…10011011000110101
31021010022202122120000
430103332103120311
5204033310020313
610023450301513
7645414104640
oct142376233065
937108678500
1013220001333
115674389740
12268b427899
131328b3cbc6
148d5a76a57
1552590c673
hex313f93635

13220001333 has 40 divisors (see below), whose sum is σ = 24621389760. Its totient is φ = 6867529920.

The previous prime is 13220001323. The next prime is 13220001383. The reversal of 13220001333 is 33310002231.

13220001333 is a `hidden beast` number, since 132 + 200 + 0 + 1 + 333 = 666.

It is not a de Polignac number, because 13220001333 - 213 = 13219993141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1053568 + ... + 1066041.

It is an arithmetic number, because the mean of its divisors is an integer number (615534744).

Almost surely, 213220001333 is an apocalyptic number.

It is an amenable number.

13220001333 is a deficient number, since it is larger than the sum of its proper divisors (11401388427).

13220001333 is a wasteful number, since it uses less digits than its factorization.

13220001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119639 (or 2119630 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13220001333 its reverse (33310002231), we get a palindrome (46530003564).

The spelling of 13220001333 in words is "thirteen billion, two hundred twenty million, one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 6237 2119609 6358827 14837263 19076481 23315699 44511789 57229443 69947097 133535367 163209893 171688329 209841291 400606101 489629679 629523873 1201818303 1468889037 1888571619 4406667111 13220001333