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313302331000200 = 233522412166682787
BaseRepresentation
bin100011100111100100110001…
…0001001011000010110001000
31112002022102002010120020000110
41013033021202021120112020
5312031121133214001300
63030201034235234320
7122664226554401103
oct10717114211302610
91462272063506013
10313302331000200
1190911855090463
122b1801108a89a0
13105a838aac9299
145751cb13bb73a
152634aa514b550
hex11cf262258588

313302331000200 has 96 divisors (see below), whose sum is σ = 975267256534560. Its totient is φ = 83200618982400.

The previous prime is 313302331000199. The next prime is 313302331000223. The reversal of 313302331000200 is 2000133203313.

It is a super-2 number, since 2×3133023310002002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083196794 + ... + 1083485993.

It is an arithmetic number, because the mean of its divisors is an integer number (10159033922235).

Almost surely, 2313302331000200 is an apocalyptic number.

313302331000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313302331000200 is an abundant number, since it is smaller than the sum of its proper divisors (661964925534360).

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

313302331000200 is a wasteful number, since it uses less digits than its factorization.

313302331000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166683047 (or 2166683038 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 313302331000200 its reverse (2000133203313), we get a palindrome (315302464203513).

The spelling of 313302331000200 in words is "three hundred thirteen trillion, three hundred two billion, three hundred thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 36150 48200 72300 144600 2166682787 4333365574 6500048361 8666731148 10833413935 13000096722 17333462296 21666827870 26000193444 32500241805 43333655740 52000386888 54167069675 65000483610 86667311480 108334139350 130000967220 162501209025 216668278700 260001934440 325002418050 433336557400 522170551667 650004836100 1044341103334 1300009672200 1566511655001 2088682206668 2610852758335 3133023310002 4177364413336 5221705516670 6266046620004 7832558275005 10443411033340 12532093240008 13054263791675 15665116550010 20886822066680 26108527583350 31330233100020 39162791375025 52217055166700 62660466200040 78325582750050 104434110333400 156651165500100 313302331000200