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13310313233031 = 3217312819986857
BaseRepresentation
bin1100000110110000110001…
…1111011111101010000111
31202010110020121121002002100
43001230030133133222013
53221034010141424111
644150401250043143
72542431653511603
oct301541437375207
952113217532070
1013310313233031
114271965903681
1215ab764b794b3
13757207356579
14340318b46503
15181372478756
hexc1b0c7dfa87

13310313233031 has 48 divisors (see below), whose sum is σ = 21088409142528. Its totient is φ = 8053400678400.

The previous prime is 13310313233017. The next prime is 13310313233039. The reversal of 13310313233031 is 13033231301331.

13310313233031 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 31 + 323 + 303 + 1 = 666.

It is not a de Polignac number, because 13310313233031 - 27 = 13310313232903 is a prime.

It is a super-2 number, since 2×133103132330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310313232986 and 13310313233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310313233039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660646 + ... + 6326211.

It is an arithmetic number, because the mean of its divisors is an integer number (439341857136).

Almost surely, 213310313233031 is an apocalyptic number.

13310313233031 is a deficient number, since it is larger than the sum of its proper divisors (7778095909497).

13310313233031 is a wasteful number, since it uses less digits than its factorization.

13310313233031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987192 (or 9987189 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13310313233031 its reverse (13033231301331), we get a palindrome (26343544534362).

The spelling of 13310313233031 in words is "thirteen trillion, three hundred ten billion, three hundred thirteen million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 17 31 51 93 153 279 281 527 843 1581 2529 4743 4777 8711 14331 26133 42993 78399 148087 444261 1332783 9986857 29960571 89881713 169776569 309592567 509329707 928777701 1527989121 2786333103 2806306817 5263073639 8418920451 15789220917 25256761353 47367662751 47707215889 86995511327 143121647667 260986533981 429364943001 782959601943 1478923692559 4436771077677 13310313233031