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20221221031000 = 2353111838292821
BaseRepresentation
bin1001001100100000111101…
…01100100100110001011000
32122121010111122212021001021
410212100132230210301120
510122301030040443000
6111001300052332224
74154635464532633
oct446203654446130
978533448767037
1020221221031000
116496854118990
122327012014074
13b38b11c56792
144dc9d886ac1a
1525100136811a
hex12641eb24c58

20221221031000 has 64 divisors (see below), whose sum is σ = 51619262441760. Its totient is φ = 7353171280000.

The previous prime is 20221221030961. The next prime is 20221221031057. The reversal of 20221221031000 is 13012212202.

It is a happy number.

It is a super-2 number, since 2×202212210310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919135411 + ... + 919157410.

Almost surely, 220221221031000 is an apocalyptic number.

20221221031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221221031000 is an abundant number, since it is smaller than the sum of its proper divisors (31398041410760).

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

20221221031000 is a wasteful number, since it uses less digits than its factorization.

20221221031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838292853 (or 1838292839 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20221221031000 its reverse (13012212202), we get a palindrome (20234233243202).

It can be divided in two parts, 202212 and 21031000, that added together give a palindrome (21233212).

The spelling of 20221221031000 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1838292821 3676585642 7353171284 9191464105 14706342568 18382928210 20221221031 36765856420 40442442062 45957320525 73531712840 80884884124 91914641050 101106105155 161769768248 183829282100 202212210310 229786602625 367658564200 404424420620 459573205250 505530525775 808848841240 919146410500 1011061051550 1838292821000 2022122103100 2527652628875 4044244206200 5055305257750 10110610515500 20221221031000