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2021041020 = 2235196129063
BaseRepresentation
bin111100001110110…
…1010001101111100
312012211221112002010
41320131222031330
513114341303040
6532313531220
7101040364605
oct17035521574
95184845063
102021041020
11947909039
12484a13b10
1326293357b
141525b4dac
15bc66be80
hex7876a37c

2021041020 has 96 divisors (see below), whose sum is σ = 6054612480. Its totient is φ = 502191360.

The previous prime is 2021041013. The next prime is 2021041051. The reversal of 2021041020 is 201401202.

It is a super-3 number, since 3×20210410203 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2021040987 and 2021041005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55009 + ... + 84071.

It is an arithmetic number, because the mean of its divisors is an integer number (63068880).

Almost surely, 22021041020 is an apocalyptic number.

2021041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027306240).

2021041020 is an abundant number, since it is smaller than the sum of its proper divisors (4033571460).

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

2021041020 is a wasteful number, since it uses less digits than its factorization.

2021041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29155 (or 29153 counting only the distinct ones).

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

The square root of 2021041020 is about 44955.9898122597. The cubic root of 2021041020 is about 1264.3239827726.

Adding to 2021041020 its reverse (201401202), we get a palindrome (2222442222).

The spelling of 2021041020 in words is "two billion, twenty-one million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 5795 6954 11590 13908 17385 23180 29063 34770 58126 69540 87189 116252 145315 174378 290630 348756 435945 552197 581260 871890 1104394 1656591 1743780 1772843 2208788 2760985 3313182 3545686 5318529 5521970 6626364 7091372 8282955 8864215 10637058 11043940 16565910 17728430 21274116 26592645 33131820 33684017 35456860 53185290 67368034 101052051 106370580 134736068 168420085 202104102 336840170 404208204 505260255 673680340 1010520510 2021041020