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2021112212 = 2272232101193
BaseRepresentation
bin111100001110111…
…1011100110010100
312012212002010201212
41320131323212110
513114401042322
6532315240552
7101041112300
oct17035734624
95185063655
102021112212
11947957579
12484a49158
13262959ab2
141525d2d00
15bc6830e2
hex7877b994

2021112212 has 108 divisors (see below), whose sum is σ = 4366162836. Its totient is φ = 816076800.

The previous prime is 2021112211. The next prime is 2021112217. The reversal of 2021112212 is 2122111202.

It can be written as a sum of positive squares in 2 ways, for example, as 1323940996 + 697171216 = 36386^2 + 26404^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021112211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10471988 + ... + 10472180.

Almost surely, 22021112212 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 2021112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183081418).

2021112212 is an abundant number, since it is smaller than the sum of its proper divisors (2345050624).

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

2021112212 is a wasteful number, since it uses less digits than its factorization.

2021112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2021112212 is about 44956.7816018896. The cubic root of 2021112212 is about 1264.3388280421.

Adding to 2021112212 its reverse (2122111202), we get a palindrome (4143223414).

It can be divided in two parts, 20211 and 12212, that added together give a palindrome (32423).

The spelling of 2021112212 in words is "two billion, twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 101 161 193 196 202 322 386 404 529 644 707 772 1058 1127 1351 1414 2116 2254 2323 2702 2828 3703 4439 4508 4646 4949 5404 7406 8878 9292 9457 9898 14812 16261 17756 18914 19493 19796 25921 31073 32522 37828 38986 51842 53429 62146 65044 77972 102097 103684 106858 113827 124292 136451 204194 213716 217511 227654 272902 374003 408388 435022 448339 455308 545804 714679 748006 870044 896678 955157 1429358 1496012 1793356 1910314 2618021 2858716 3138373 3820628 5002753 5236042 6276746 10005506 10311797 10472084 12553492 20011012 20623594 21968611 41247188 43937222 72182579 87874444 144365158 288730316 505278053 1010556106 2021112212