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313200534020 = 2251115711038221
BaseRepresentation
bin1001000111011000011…
…01001110001000000100
31002221102111001122011112
410203230031032020010
520112413314042040
6355514330224152
731425254420303
oct4435415161004
91087374048145
10313200534020
11110911599950
125084a285058
13236c491399a
141123238c43a
158231523365
hex48ec34e204

313200534020 has 96 divisors (see below), whose sum is σ = 722826671616. Its totient is φ = 113049331200.

The previous prime is 313200534013. The next prime is 313200534041. The reversal of 313200534020 is 20435002313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38093510 + ... + 38101730.

It is an arithmetic number, because the mean of its divisors is an integer number (7529444496).

Almost surely, 2313200534020 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 313200534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361413335808).

313200534020 is an abundant number, since it is smaller than the sum of its proper divisors (409626137596).

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

313200534020 is a wasteful number, since it uses less digits than its factorization.

313200534020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9501 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 313200534020 its reverse (20435002313), we get a palindrome (333635536333).

The spelling of 313200534020 in words is "three hundred thirteen billion, two hundred million, five hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1103 1570 1727 2206 3140 3454 4412 5515 6908 8221 8635 11030 12133 16442 17270 22060 24266 32884 34540 41105 48532 60665 82210 90431 121330 164420 173171 180862 242660 346342 361724 452155 692684 865855 904310 1290697 1731710 1808620 1904881 2581394 3463420 3809762 5162788 6453485 7619524 9067763 9524405 12906970 14197667 18135526 19048810 25813940 28395334 36271052 38097620 45338815 56790668 70988335 90677630 99745393 141976670 181355260 199490786 283953340 398981572 498726965 997453930 1423638791 1994907860 2847277582 5694555164 7118193955 14236387910 15660026701 28472775820 31320053402 62640106804 78300133505 156600267010 313200534020