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20130210012 = 22311241338141
BaseRepresentation
bin10010101111110110…
…101010000011011100
31220221220112121210210
4102233312222003130
5312211313210022
613125300132420
71311562650633
oct225766520334
956856477723
1020130210012
11859aa84800
123a99697110
131b8a667b93
14d8d6dc51a
157cc3dba0c
hex4afdaa0dc

20130210012 has 72 divisors (see below), whose sum is σ = 52888113936. Its totient is φ = 5951264000.

The previous prime is 20130209993. The next prime is 20130210031. The reversal of 20130210012 is 21001203102.

It is an interprime number because it is at equal distance from previous prime (20130209993) and next prime (20130210031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 20130210012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109539 + ... + 228602.

It is an arithmetic number, because the mean of its divisors is an integer number (734557138).

Almost surely, 220130210012 is an apocalyptic number.

20130210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20130210012 is an abundant number, since it is smaller than the sum of its proper divisors (32757903924).

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

20130210012 is a wasteful number, since it uses less digits than its factorization.

20130210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338211 (or 338198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20130210012 its reverse (21001203102), we get a palindrome (41131413114).

The spelling of 20130210012 in words is "twenty billion, one hundred thirty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1353 1452 1804 2706 4961 5412 9922 14883 19844 29766 59532 338141 676282 1014423 1352564 2028846 3719551 4057692 7439102 11158653 13863781 14878204 22317306 27727562 40915061 41591343 44634612 55455124 81830122 83182686 122745183 152501591 163660244 166365372 245490366 305003182 457504773 490980732 610006364 915009546 1677517501 1830019092 3355035002 5032552503 6710070004 10065105006 20130210012