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13313300112 = 24327109121171
BaseRepresentation
bin11000110011000100…
…01101011010010000
31021100211022201102100
430121202031122100
5204231201100422
610041022120400
7650626120020
oct143142153220
937324281370
1013313300112
115712013472
1226b6720100
131342278498
14904201a80
1552dbdb7ac
hex31988d690

13313300112 has 120 divisors (see below), whose sum is σ = 42972438080. Its totient is φ = 3768871680.

The previous prime is 13313300107. The next prime is 13313300113. The reversal of 13313300112 is 21100331331.

It is a happy number.

13313300112 is a `hidden beast` number, since 1 + 331 + 330 + 0 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13313300113) 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, 49287 + ... + 170457.

Almost surely, 213313300112 is an apocalyptic number.

13313300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486219040).

13313300112 is an abundant number, since it is smaller than the sum of its proper divisors (29659137968).

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

13313300112 is a wasteful number, since it uses less digits than its factorization.

13313300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121301 (or 121292 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313300112 its reverse (21100331331), we get a palindrome (34413631443).

The spelling of 13313300112 in words is "thirteen billion, three hundred thirteen million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1008 1308 1526 1744 1962 2289 2616 3052 3924 4578 5232 6104 6867 7848 9156 12208 13734 15696 18312 27468 36624 54936 109872 121171 242342 363513 484684 727026 848197 969368 1090539 1454052 1696394 1938736 2181078 2544591 2908104 3392788 4362156 5089182 5816208 6785576 7633773 8724312 10178364 13207639 13571152 15267546 17448624 20356728 26415278 30535092 39622917 40713456 52830556 61070184 79245834 92453473 105661112 118868751 122140368 158491668 184906946 211322224 237737502 277360419 316983336 369813892 475475004 554720838 633966672 739627784 832081257 950950008 1109441676 1479255568 1664162514 1901900016 2218883352 3328325028 4437766704 6656650056 13313300112