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12002010203313 = 35134318815097
BaseRepresentation
bin1010111010100110111110…
…0011100000010010110001
31120111101021201122000100000
42232221233203200102301
53033120104103001223
641305351455420213
72346055000321404
oct256515743402261
946441251560300
1012002010203313
113908029960359
12141a0a0b24669
13690a27cca1c0
142d6c86971d3b
1515c2ee64b543
hexaea6f8e04b1

12002010203313 has 48 divisors (see below), whose sum is σ = 19406191424256. Its totient is φ = 7368715048320.

The previous prime is 12002010203311. The next prime is 12002010203321. The reversal of 12002010203313 is 31330201020021.

12002010203313 is a `hidden beast` number, since 120 + 0 + 20 + 10 + 203 + 313 = 666.

12002010203313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002010203313 - 21 = 12002010203311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002010203311) 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, 3046020 + ... + 5769077.

It is an arithmetic number, because the mean of its divisors is an integer number (404295654672).

Almost surely, 212002010203313 is an apocalyptic number.

12002010203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12002010203313 is a deficient number, since it is larger than the sum of its proper divisors (7404181220943).

12002010203313 is an equidigital number, since it uses as much as digits as its factorization.

12002010203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815556 (or 8815544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002010203313 its reverse (31330201020021), we get a palindrome (43332211223334).

The spelling of 12002010203313 in words is "twelve trillion, two billion, ten million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 431 1053 1293 3159 3879 5603 11637 16809 34911 50427 104733 151281 453843 1361529 8815097 26445291 79335873 114596261 238007619 343788783 714022857 1031366349 2142068571 3094099047 3799306807 9282297141 11397920421 27846891423 34193761263 49390988491 102581283789 148172965473 307743851367 444518896419 923231554101 1333556689257 4000670067771 12002010203313