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13201123221 = 321113193671471
BaseRepresentation
bin11000100101101100…
…10010011110010101
31021002000020112122200
430102312102132111
5204013441420341
610021533515113
7645064460466
oct142266223625
937060215580
1013201123221
1156647652a0
122685042a99
131324c60320
148d3360d6d
15523e2ddb6
hex312d92795

13201123221 has 96 divisors (see below), whose sum is σ = 23661281280. Its totient is φ = 6972739200.

The previous prime is 13201123219. The next prime is 13201123253. The reversal of 13201123221 is 12232110231.

13201123221 is a `hidden beast` number, since 1 + 320 + 1 + 123 + 221 = 666.

13201123221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201123221 - 21 = 13201123219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13201123194 and 13201123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8973516 + ... + 8974986.

It is an arithmetic number, because the mean of its divisors is an integer number (246471680).

Almost surely, 213201123221 is an apocalyptic number.

13201123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13201123221 is a deficient number, since it is larger than the sum of its proper divisors (10460158059).

13201123221 is a wasteful number, since it uses less digits than its factorization.

13201123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13201123221 its reverse (12232110231), we get a palindrome (25433233452).

The spelling of 13201123221 in words is "thirteen billion, two hundred one million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 19 33 39 57 99 117 143 171 209 247 367 429 627 741 1101 1287 1471 1881 2223 2717 3303 4037 4413 4771 6973 8151 12111 13239 14313 16181 19123 20919 24453 27949 36333 42939 48543 52481 57369 62757 76703 83847 90649 145629 157443 172107 210353 230109 251541 271947 307439 363337 472329 539857 631059 690327 815841 922317 997139 1090011 1619571 1893177 2766951 2991417 3270033 3996707 4858713 5938427 7018141 8974251 10257283 11990121 17815281 21054423 30771849 35970363 53445843 63163269 77199551 92315547 112830113 133344679 231598653 338490339 400034037 694795959 1015471017 1200102111 1466791469 4400374407 13201123221