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13211331318 = 2323179299699
BaseRepresentation
bin11000100110111010…
…01110101011110110
31021002201110011112100
430103131032223312
5204024100100233
610022540402530
7645250314633
oct142335165366
937081404470
1013211331318
11566a4a7839
122688546446
1313270c5813
148d485b18a
15524c98813
hex31374eaf6

13211331318 has 48 divisors (see below), whose sum is σ = 29922048000. Its totient is φ = 4207759920.

The previous prime is 13211331317. The next prime is 13211331323. The reversal of 13211331318 is 81313311231.

It is a happy number.

13211331318 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 331 + 318 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13211331291 and 13211331300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211331317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105768 + ... + 193931.

It is an arithmetic number, because the mean of its divisors is an integer number (623376000).

Almost surely, 213211331318 is an apocalyptic number.

13211331318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13211331318 is an abundant number, since it is smaller than the sum of its proper divisors (16710716682).

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

13211331318 is a wasteful number, since it uses less digits than its factorization.

13211331318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299817 (or 299814 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 13211331318 its reverse (81313311231), we get a palindrome (94524642549).

The spelling of 13211331318 in words is "thirteen billion, two hundred eleven million, three hundred thirty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 31 62 79 93 158 186 237 279 474 558 711 1422 2449 4898 7347 14694 22041 44082 299699 599398 899097 1798194 2697291 5394582 9290669 18581338 23676221 27872007 47352442 55744014 71028663 83616021 142057326 167232042 213085989 426171978 733962851 1467925702 2201888553 4403777106 6605665659 13211331318