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13311134320 = 2451131747717
BaseRepresentation
bin11000110010110011…
…11100101001110000
31021100200020200111211
430121121330221300
5204230122244240
610040503445504
7650601526531
oct143131745160
937320220454
1013311134320
115710874260
1226b5a56894
13134199a753
14903bda688
1552d90ebea
hex31967ca70

13311134320 has 80 divisors (see below), whose sum is σ = 33869091168. Its totient is φ = 4825041920.

The previous prime is 13311134311. The next prime is 13311134321. The reversal of 13311134320 is 2343111331.

13311134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13311134291 and 13311134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311134321) 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 15 ways as a sum of consecutive naturals, for example, 255102 + ... + 302818.

Almost surely, 213311134320 is an apocalyptic number.

13311134320 is a gapful number since it is divisible by the number (10) 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 13311134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934545584).

13311134320 is an abundant number, since it is smaller than the sum of its proper divisors (20557956848).

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

13311134320 is a wasteful number, since it uses less digits than its factorization.

13311134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48058 (or 48052 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13311134320 its reverse (2343111331), we get a palindrome (15654245651).

The spelling of 13311134320 in words is "thirteen billion, three hundred eleven million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 317 440 634 880 1268 1585 2536 3170 3487 5072 6340 6974 12680 13948 17435 25360 27896 34870 47717 55792 69740 95434 139480 190868 238585 278960 381736 477170 524887 763472 954340 1049774 1908680 2099548 2624435 3817360 4199096 5248870 8398192 10497740 15126289 20995480 30252578 41990960 60505156 75631445 121010312 151262890 166389179 242020624 302525780 332778358 605051560 665556716 831945895 1210103120 1331113432 1663891790 2662226864 3327783580 6655567160 13311134320