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20221210000 = 245410120021
BaseRepresentation
bin10010110101010001…
…110010110110010000
31221012020202220022201
4102311101302312100
5312403112210000
613142310412544
71314046310005
oct226521626620
957166686281
1020221210000
118637389402
123b04061154
131ba347a024
14d9b8298ac
157d53b496a
hex4b5472d90

20221210000 has 100 divisors (see below), whose sum is σ = 49444769484. Its totient is φ = 8008000000.

The previous prime is 20221209979. The next prime is 20221210003. The reversal of 20221210000 is 1212202.

It can be written as a sum of positive squares in 10 ways, for example, as 15452478864 + 4768731136 = 124308^2 + 69056^2 .

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 (20221210003) 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, 999990 + ... + 1020010.

Almost surely, 220221210000 is an apocalyptic number.

20221210000 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 20221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722384742).

20221210000 is an abundant number, since it is smaller than the sum of its proper divisors (29223559484).

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

20221210000 is a wasteful number, since it uses less digits than its factorization.

20221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20150 (or 20129 counting only the distinct ones).

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

Adding to 20221210000 its reverse (1212202), we get a palindrome (20222422202).

It can be divided in two parts, 202212 and 10000, that added together give a palindrome (212212).

The spelling of 20221210000 in words is "twenty billion, two hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20021 20200 25250 40042 40400 50500 63125 80084 100105 101000 126250 160168 200210 202000 252500 320336 400420 500525 505000 800840 1001050 1010000 1601680 2002100 2022121 2502625 4004200 4044242 5005250 8008400 8088484 10010500 10110605 12513125 16176968 20021000 20221210 25026250 32353936 40042000 40442420 50052500 50553025 80884840 100105000 101106050 161769680 200210000 202212100 252765125 404424200 505530250 808848400 1011060500 1263825625 2022121000 2527651250 4044242000 5055302500 10110605000 20221210000