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10000313022303 = 332322276174999
BaseRepresentation
bin1001000110000110000100…
…0110101111011101011111
31022102000120000020102201000
42101201201012233131133
52302321120113203203
633134025210121343
72051333036111622
oct221414106573537
938360500212630
1010000313022303
113206121aa233a
121156164720253
13577043c65716
14268036931db9
151251e76754a3
hex918611af75f

10000313022303 has 96 divisors (see below), whose sum is σ = 15583982400000. Its totient is φ = 6337360681344.

The previous prime is 10000313022299. The next prime is 10000313022353. The reversal of 10000313022303 is 30322031300001.

10000313022303 is a `hidden beast` number, since 100 + 0 + 0 + 31 + 302 + 230 + 3 = 666.

It is not a de Polignac number, because 10000313022303 - 22 = 10000313022299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000313022353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2000460198 + ... + 2000465196.

It is an arithmetic number, because the mean of its divisors is an integer number (162333150000).

Almost surely, 210000313022303 is an apocalyptic number.

10000313022303 is a deficient number, since it is larger than the sum of its proper divisors (5583669377697).

10000313022303 is a wasteful number, since it uses less digits than its factorization.

10000313022303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10000313022303 its reverse (30322031300001), we get a palindrome (40322344322304).

The spelling of 10000313022303 in words is "ten trillion, three hundred thirteen million, twenty-two thousand, three hundred three".

Divisors: 1 3 9 23 27 69 207 227 529 617 621 681 1587 1851 2043 4761 4999 5221 5553 6129 14191 14283 14997 15663 16659 42573 44991 46989 114977 120083 127719 134973 140059 140967 326393 344931 360249 383157 420177 979179 1034793 1080747 1134773 1260531 2644471 2937537 3084383 3104379 3221357 3242241 3404319 3781593 7933413 8812611 9253149 9664071 10212957 23800239 26099779 27759447 28992213 30638871 70940809 71400717 74091211 78299337 83278341 86976639 212822427 222273633 234898011 600294917 638467281 666820899 700154941 704694033 1631638607 1800884751 1915401843 2000462697 2100464823 4894915821 5402654253 6301394469 14684747463 16103563643 16207962759 18904183407 44054242389 48310690929 144932072787 370381963789 434796218361 1111145891367 3333437674101 10000313022303