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1311083368 = 23759795023
BaseRepresentation
bin100111000100101…
…1000101101101000
310101101000221021021
41032021120231220
510141114131433
6334033022224
744330011330
oct11611305550
93341027237
101311083368
11613088381
123070b4974
1317b81899a
14c61a80c0
157a17e22d
hex4e258b68

1311083368 has 64 divisors (see below), whose sum is σ = 2893824000. Its totient is φ = 545268672.

The previous prime is 1311083351. The next prime is 1311083383. The reversal of 1311083368 is 8633801131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258505 + ... + 263527.

It is an arithmetic number, because the mean of its divisors is an integer number (45216000).

Almost surely, 21311083368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311083368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446912000).

1311083368 is an abundant number, since it is smaller than the sum of its proper divisors (1582740632).

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

1311083368 is a wasteful number, since it uses less digits than its factorization.

1311083368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1311083368 is about 36208.8852079155. The cubic root of 1311083368 is about 1094.4857278018.

Adding to 1311083368 its reverse (8633801131), we get a palindrome (9944884499).

The spelling of 1311083368 in words is "one billion, three hundred eleven million, eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 79 118 158 236 316 413 472 553 632 826 1106 1652 2212 3304 4424 4661 5023 9322 10046 18644 20092 32627 35161 37288 40184 65254 70322 130508 140644 261016 281288 296357 396817 592714 793634 1185428 1587268 2074499 2370856 2777719 3174536 4148998 5555438 8297996 11110876 16595992 22221752 23412203 46824406 93648812 163885421 187297624 327770842 655541684 1311083368