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13220102331 = 3237471495669
BaseRepresentation
bin11000100111111101…
…01100000010111011
31021010022221210002200
430103332230002323
5204033321233311
610023452401243
7645415005252
oct142376540273
937108853080
1013220102331
115674448607
12268b476223
131328b76b77
148d5aa1799
1552592c556
hex313fac0bb

13220102331 has 48 divisors (see below), whose sum is σ = 20167056000. Its totient is φ = 8334952704.

The previous prime is 13220102327. The next prime is 13220102333. The reversal of 13220102331 is 13320102231.

13220102331 is a `hidden beast` number, since 1 + 322 + 0 + 10 + 2 + 331 = 666.

It is not a de Polignac number, because 13220102331 - 22 = 13220102327 is a prime.

It is a super-2 number, since 2×132201023312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13220102333) 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 47 ways as a sum of consecutive naturals, for example, 2329165 + ... + 2334833.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 213220102331 is an apocalyptic number.

13220102331 is a deficient number, since it is larger than the sum of its proper divisors (6946953669).

13220102331 is a wasteful number, since it uses less digits than its factorization.

13220102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220102331 its reverse (13320102231), we get a palindrome (26540204562).

The spelling of 13220102331 in words is "thirteen billion, two hundred twenty million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 37 47 111 141 149 333 423 447 1341 1739 5217 5513 5669 7003 15651 16539 17007 21009 49617 51021 63027 209753 259111 266443 629259 777333 799329 844681 1887777 2331999 2397987 2534043 7602129 9858391 29575173 31253197 39700007 88725519 93759591 119100021 281278773 357300063 1468900259 4406700777 13220102331