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20212012000 = 25536417883
BaseRepresentation
bin10010110100101110…
…101101001111100000
31221011121110121001001
4102310232231033200
5312343233341000
613141341321344
71313605160455
oct226456551740
957147417031
1020212012000
118632176854
123b00b66254
131ba15a951b
14d9a51382c
157d469946a
hex4b4bad3e0

20212012000 has 96 divisors (see below), whose sum is σ = 49744697184. Its totient is φ = 8071168000.

The previous prime is 20212011973. The next prime is 20212012003. The reversal of 20212012000 is 21021202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560059 + ... + 2567941.

It is an arithmetic number, because the mean of its divisors is an integer number (518173929).

Almost surely, 220212012000 is an apocalyptic number.

20212012000 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 20212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872348592).

20212012000 is an abundant number, since it is smaller than the sum of its proper divisors (29532685184).

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

20212012000 is an equidigital number, since it uses as much as digits as its factorization.

20212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20212012000 its reverse (21021202), we get a palindrome (20233033202).

The spelling of 20212012000 in words is "twenty billion, two hundred twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 641 800 1000 1282 2000 2564 3205 4000 5128 6410 7883 10256 12820 15766 16025 20512 25640 31532 32050 39415 51280 63064 64100 78830 80125 102560 126128 128200 157660 160250 197075 252256 256400 315320 320500 394150 512800 630640 641000 788300 985375 1261280 1282000 1576600 1970750 2564000 3153200 3941500 5053003 6306400 7883000 10106006 15766000 20212012 25265015 31532000 40424024 50530030 80848048 101060060 126325075 161696096 202120120 252650150 404240240 505300300 631625375 808480480 1010600600 1263250750 2021201200 2526501500 4042402400 5053003000 10106006000 20212012000