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20221201100000 = 2555613314951
BaseRepresentation
bin1001001100100000111011…
…00000100010110011100000
32122121010110021100122212002
410212100131200202303200
510122301004440200000
6111001254101223132
74154635133242025
oct446203540426340
978533407318762
1020221201100000
11649684394548a
122327007401aa8
13b38b0aa988a4
144dc9d5d5d54c
15250eee72c8d5
hex12641d822ce0

20221201100000 has 144 divisors (see below), whose sum is σ = 50575679011872. Its totient is φ = 7955880000000.

The previous prime is 20221201099993. The next prime is 20221201100003. The reversal of 20221201100000 is 110212202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221201100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4442525 + ... + 7757475.

It is an arithmetic number, because the mean of its divisors is an integer number (351219993138).

Almost surely, 220221201100000 is an apocalyptic number.

20221201100000 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 20221201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25287839505936).

20221201100000 is an abundant number, since it is smaller than the sum of its proper divisors (30354477911872).

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

20221201100000 is an frugal number, since it uses more digits than its factorization.

20221201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315047 (or 3315019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20221201100000 its reverse (110212202), we get a palindrome (20221311312202).

The spelling of 20221201100000 in words is "twenty trillion, two hundred twenty-one billion, two hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 625 800 976 1000 1220 1250 1525 1952 2000 2440 2500 3050 3125 4000 4880 5000 6100 6250 7625 9760 10000 12200 12500 15250 20000 24400 25000 30500 38125 48800 50000 61000 76250 100000 122000 152500 190625 244000 305000 381250 610000 762500 1220000 1525000 3050000 3314951 6100000 6629902 13259804 16574755 26519608 33149510 53039216 66299020 82873775 106078432 132598040 165747550 202212011 265196080 331495100 404424022 414368875 530392160 662990200 808848044 828737750 1011060055 1325980400 1617696088 1657475500 2022120110 2071844375 2651960800 3235392176 3314951000 4044240220 4143688750 5055300275 6470784352 6629902000 8088480440 8287377500 10110600550 10359221875 13259804000 16176960880 16574755000 20221201100 20718443750 25276501375 32353921760 33149510000 40442402200 41436887500 50553002750 66299020000 80884804400 82873775000 101106005500 126382506875 161769608800 165747550000 202212011000 252765013750 331495100000 404424022000 505530027500 631912534375 808848044000 1011060055000 1263825068750 2022120110000 2527650137500 4044240220000 5055300275000 10110600550000 20221201100000