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20021010012 = 223243109311833
BaseRepresentation
bin10010101001010110…
…000101111001011100
31220200022001200120100
4102221112011321130
5312000334310022
613110355421100
71306065530403
oct225126057134
956608050510
1020021010012
11854437a173
123a68bb4790
131b70b529b3
14d7cdd463a
157c2a1b1ac
hex4a9585e5c

20021010012 has 72 divisors (see below), whose sum is σ = 51837369584. Its totient is φ = 6511954176.

The previous prime is 20021009999. The next prime is 20021010029. The reversal of 20021010012 is 21001012002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20021009976 and 20021010003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686048 + ... + 1697880.

Almost surely, 220021010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918684792).

20021010012 is an abundant number, since it is smaller than the sum of its proper divisors (31816359572).

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

20021010012 is a wasteful number, since it uses less digits than its factorization.

20021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20021010012 its reverse (21001012002), we get a palindrome (41022022014).

The spelling of 20021010012 in words is "twenty billion, twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1093 1548 2186 3279 4372 6558 9837 11833 13116 19674 23666 35499 39348 46999 47332 70998 93998 106497 140997 141996 187996 212994 281994 422991 425988 508819 563988 845982 1017638 1526457 1691964 2035276 3052914 4579371 6105828 9158742 12933469 18317484 25866938 38800407 51733876 77600814 116401221 155201628 232802442 465604884 556139167 1112278334 1668417501 2224556668 3336835002 5005252503 6673670004 10010505006 20021010012