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20201221000 = 235328037207
BaseRepresentation
bin10010110100000101…
…100010101110001000
31221010212011100120101
4102310011202232020
5312333003033000
613140314135144
71313414355022
oct226405425610
957125140511
1020201221000
118627076374
123ab94214b4
131b9c29b90c
14d98d05012
157d3766e6a
hex4b4162b88

20201221000 has 64 divisors (see below), whose sum is σ = 47294282880. Its totient is φ = 8076484800.

The previous prime is 20201220961. The next prime is 20201221003. The reversal of 20201221000 is 12210202.

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

It is not an unprimeable number, because it can be changed into a prime (20201221003) 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, 2799397 + ... + 2806603.

It is an arithmetic number, because the mean of its divisors is an integer number (738973170).

Almost surely, 220201221000 is an apocalyptic number.

20201221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201221000 is an abundant number, since it is smaller than the sum of its proper divisors (27093061880).

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

20201221000 is a wasteful number, since it uses less digits than its factorization.

20201221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10017 counting only the distinct ones).

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

Adding to 20201221000 its reverse (12210202), we get a palindrome (20213431202).

The spelling of 20201221000 in words is "twenty billion, two hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2803 5606 7207 11212 14015 14414 22424 28030 28828 36035 56060 57656 70075 72070 112120 140150 144140 180175 280300 288280 350375 360350 560600 700750 720700 900875 1401500 1441400 1801750 2803000 3603500 7207000 20201221 40402442 80804884 101006105 161609768 202012210 404024420 505030525 808048840 1010061050 2020122100 2525152625 4040244200 5050305250 10100610500 20201221000