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20212210000 = 24544214801
BaseRepresentation
bin10010110100101111…
…011101100101010000
31221011121211122122101
4102310233131211100
5312343311210000
613141345450144
71313606643643
oct226457354520
957147748571
1020212210000
1186322a1594
123b01040954
131ba1648698
14d9a565a5a
157d46d7e6a
hex4b4bdd950

20212210000 has 100 divisors (see below), whose sum is σ = 49062235684. Its totient is φ = 8064000000.

The previous prime is 20212209989. The next prime is 20212210001. The reversal of 20212210000 is 1221202.

It can be written as a sum of positive squares in 10 ways, for example, as 19547395344 + 664814656 = 139812^2 + 25784^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 (20212210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4207600 + ... + 4212400.

Almost surely, 220212210000 is an apocalyptic number.

20212210000 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 20212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531117842).

20212210000 is an abundant number, since it is smaller than the sum of its proper divisors (28850025684).

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

20212210000 is an equidigital number, since it uses as much as digits as its factorization.

20212210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5229 counting only the distinct ones).

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

Adding to 20212210000 its reverse (1221202), we get a palindrome (20213431202).

The spelling of 20212210000 in words is "twenty billion, two hundred twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1000 1250 1684 2000 2105 2500 3368 4210 4801 5000 6736 8420 9602 10000 10525 16840 19204 21050 24005 33680 38408 42100 48010 52625 76816 84200 96020 105250 120025 168400 192040 210500 240050 263125 384080 421000 480100 526250 600125 842000 960200 1052500 1200250 1920400 2021221 2105000 2400500 3000625 4042442 4210000 4801000 6001250 8084884 9602000 10106105 12002500 16169768 20212210 24005000 32339536 40424420 48010000 50530525 80848840 101061050 161697680 202122100 252652625 404244200 505305250 808488400 1010610500 1263263125 2021221000 2526526250 4042442000 5053052500 10106105000 20212210000