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311213221320 = 233554716632851
BaseRepresentation
bin1001000011101011100…
…00001110010111001000
31002202021222120200122110
410201311300032113020
520044331041040240
6354545215222320
731325103506601
oct4416560162710
91082258520573
10311213221320
1110aa91828461
12503948179a0
1323468c8c401
14110c4476da8
158166d19c80
hex4875c0e5c8

311213221320 has 128 divisors (see below), whose sum is σ = 936237219840. Its totient is φ = 82759622400.

The previous prime is 311213221273. The next prime is 311213221357. The reversal of 311213221320 is 23122312113.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109157895 + ... + 109160745.

It is an arithmetic number, because the mean of its divisors is an integer number (7314353280).

Almost surely, 2311213221320 is an apocalyptic number.

311213221320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311213221320 is an abundant number, since it is smaller than the sum of its proper divisors (625023998520).

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

311213221320 is a wasteful number, since it uses less digits than its factorization.

311213221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311213221320 its reverse (23122312113), we get a palindrome (334335533433).

The spelling of 311213221320 in words is "three hundred eleven billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 547 1094 1641 1663 2188 2735 2851 3282 3326 4376 4989 5470 5702 6564 6652 8205 8315 8553 9978 10940 11404 13128 13304 14255 16410 16630 17106 19956 21880 22808 24945 28510 32820 33260 34212 39912 42765 49890 57020 65640 66520 68424 85530 99780 114040 171060 199560 342120 909661 1559497 1819322 2728983 3118994 3638644 4548305 4678491 4741213 5457966 6237988 7277288 7797485 9096610 9356982 9482426 10915932 12475976 13644915 14223639 15594970 18193220 18713964 18964852 21831864 23392455 23706065 27289830 28447278 31189940 36386440 37427928 37929704 46784910 47412130 54579660 56894556 62379880 71118195 93569820 94824260 109159320 113789112 142236390 187139640 189648520 284472780 568945560 2593443511 5186887022 7780330533 10373774044 12967217555 15560661066 20747548088 25934435110 31121322132 38901652665 51868870220 62242644264 77803305330 103737740440 155606610660 311213221320