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313133120311032 = 233272327012864071
BaseRepresentation
bin100011100110010101111110…
…0011001110100111011111000
31112001201020022112210120210200
41013030223330121310323320
5312020333112244423112
63025551211455042200
7122646056426306520
oct10714537431647370
91461636275716720
10313133120311032
119085701306319a
122b153368510360
1310595432551938
145747a1c4ca680
15263049ec65cdc
hex11ccafc674ef8

313133120311032 has 96 divisors (see below), whose sum is σ = 1011361630855680. Its totient is φ = 85576753373760.

The previous prime is 313133120311019. The next prime is 313133120311043. The reversal of 313133120311032 is 230113021331313.

313133120311032 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 3 + 312 + 0 + 311 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313133120310987 and 313133120311005.

It is a congruent number.

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, 13506420444 + ... + 13506443627.

It is an arithmetic number, because the mean of its divisors is an integer number (10535016988080).

Almost surely, 2313133120311032 is an apocalyptic number.

It is an amenable number.

313133120311032 is an abundant number, since it is smaller than the sum of its proper divisors (698228510544648).

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

313133120311032 is a wasteful number, since it uses less digits than its factorization.

313133120311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012864113 (or 27012864106 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313133120311032 its reverse (230113021331313), we get a palindrome (543246141642345).

The spelling of 313133120311032 in words is "three hundred thirteen trillion, one hundred thirty-three billion, one hundred twenty million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 27012864071 54025728142 81038592213 108051456284 162077184426 189090048497 216102912568 243115776639 324154368852 378180096994 486231553278 567270145491 621295873633 648308737704 756360193988 972463106556 1134540290982 1242591747266 1512720387976 1701810436473 1863887620899 1944926213112 2269080581964 2485183494532 3403620872946 3727775241798 4349071115431 4538161163928 4970366989064 5591662862697 6807241745892 7455550483596 8698142230862 11183325725394 13047213346293 13614483491784 14911100967192 17396284461724 22366651450788 26094426692586 34792568923448 39141640038879 44733302901576 52188853385172 78283280077758 104377706770344 156566560155516 313133120311032