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11340012012 = 22371031310681
BaseRepresentation
bin10101000111110101…
…01101100111101100
31002021022020022000220
422203322231213230
5141211020341022
65113131451340
7551005340340
oct124372554754
932238208026
1011340012012
11489a16095a
1222458b6b50
1310b94c45a4
147980db620
1546585385c
hex2a3ead9ec

11340012012 has 48 divisors (see below), whose sum is σ = 30533647872. Its totient is φ = 3208544640.

The previous prime is 11340012001. The next prime is 11340012017. The reversal of 11340012012 is 21021004311.

11340012012 is a modest number, since divided by 12012 gives 11340 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11340011982 and 11340012000.

It is not an unprimeable number, because it can be changed into a prime (11340012017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646689 + ... + 663992.

It is an arithmetic number, because the mean of its divisors is an integer number (636117664).

Almost surely, 211340012012 is an apocalyptic number.

11340012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11340012012 is an abundant number, since it is smaller than the sum of its proper divisors (19193635860).

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

11340012012 is a wasteful number, since it uses less digits than its factorization.

11340012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310798 (or 1310796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11340012012 its reverse (21021004311), we get a palindrome (32361016323).

The spelling of 11340012012 in words is "eleven billion, three hundred forty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 8652 1310681 2621362 3932043 5242724 7864086 9174767 15728172 18349534 27524301 36699068 55048602 110097204 135000143 270000286 405000429 540000572 810000858 945001001 1620001716 1890002002 2835003003 3780004004 5670006006 11340012012