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2021220012 = 2237223314753
BaseRepresentation
bin111100001111001…
…0101111010101100
312012212021121121110
41320132111322230
513114413020022
6532321432020
7101042041500
oct17036257254
95185247543
102021220012
11947a20569
12484a9b610
13262996b96
14152620300
15bc6a500c
hex78795eac

2021220012 has 72 divisors (see below), whose sum is σ = 5510087856. Its totient is φ = 574973952.

The previous prime is 2021219983. The next prime is 2021220017. The reversal of 2021220012 is 2100221202.

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 2021220012.

It is not an unprimeable number, because it can be changed into a prime (2021220017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129628 + ... + 144380.

It is an arithmetic number, because the mean of its divisors is an integer number (76528998).

Almost surely, 22021220012 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 2021220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755043928).

2021220012 is an abundant number, since it is smaller than the sum of its proper divisors (3488867844).

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

2021220012 is a wasteful number, since it uses less digits than its factorization.

2021220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2021220012 is about 44957.9805151432. The cubic root of 2021220012 is about 1264.3613063095.

Adding to 2021220012 its reverse (2100221202), we get a palindrome (4121441214).

The spelling of 2021220012 in words is "two billion, twenty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 233 294 466 588 699 932 1398 1631 2796 3262 4893 6524 9786 11417 14753 19572 22834 29506 34251 44259 45668 59012 68502 88518 103271 137004 177036 206542 309813 413084 619626 722897 1239252 1445794 2168691 2891588 3437449 4337382 6874898 8674764 10312347 13749796 20624694 24062143 41249388 48124286 72186429 96248572 144372858 168435001 288745716 336870002 505305003 673740004 1010610006 2021220012