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103011020211313 = 41599710723917167
BaseRepresentation
bin10111011011000000011111…
…010001001000010001110001
3111111201202110010001112200101
4113123000133101020101301
5102000213032133230223
61003030335343352401
730461205052511314
oct2733003721102161
9444652403045611
10103011020211313
112a905801465805
12b6782862b2701
134562b88b28b36
141b61a8d55a97b
15bd98467464ad
hex5db01f448471

103011020211313 has 64 divisors (see below), whose sum is σ = 109895856537600. Its totient is φ = 96451980226560.

The previous prime is 103011020211311. The next prime is 103011020211331. The reversal of 103011020211313 is 313112020110301.

It is a cyclic number.

It is not a de Polignac number, because 103011020211313 - 21 = 103011020211311 is a prime.

It is a super-3 number, since 3×1030110202113133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103011020211311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6000516856 + ... + 6000534022.

It is an arithmetic number, because the mean of its divisors is an integer number (1717122758400).

Almost surely, 2103011020211313 is an apocalyptic number.

It is an amenable number.

103011020211313 is a deficient number, since it is larger than the sum of its proper divisors (6884836326287).

103011020211313 is a wasteful number, since it uses less digits than its factorization.

103011020211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 103011020211313 its reverse (313112020110301), we get a palindrome (416123040321614).

The spelling of 103011020211313 in words is "one hundred three trillion, eleven billion, twenty million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 41 59 97 107 239 2419 3977 4387 5723 6313 9799 10379 14101 17167 23183 25573 234643 258833 425539 578141 612361 703847 950503 1012853 1048493 1367797 1508807 1665199 1836869 2480581 4102913 25106801 41526973 56079677 61861087 68273159 75311629 98246741 101703821 108375271 146354279 168219433 178176293 242071867 397982561 439011691 4028116381 4443386111 6000525439 7305228013 9924946547 10512401287 16317285001 17999479331 23480971099 25901689769 42584134027 431008452767 962719815059 1061969280529 1745949495107 2512463907593 103011020211313