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20211222012100 = 22527145491984547
BaseRepresentation
bin1001001100001110010101…
…01101010110000011000100
32122120011200210221110201221
410212013022231112003010
510122120040313341400
6110552523542530124
74154132631345220
oct446071255260304
978504623843657
1020211222012100
116492592a13aa9
1223250a1436944
13b37baa520a52
144dc32a8c1780
15250b18600c1a
hex1261cab560c4

20211222012100 has 72 divisors (see below), whose sum is σ = 50127301022400. Its totient is φ = 6929082049920.

The previous prime is 20211222012067. The next prime is 20211222012139. The reversal of 20211222012100 is 121022211202.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 9192027 + ... + 11176573.

It is an arithmetic number, because the mean of its divisors is an integer number (696212514200).

Almost surely, 220211222012100 is an apocalyptic number.

20211222012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211222012100 is an abundant number, since it is smaller than the sum of its proper divisors (29916079010300).

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

20211222012100 is a wasteful number, since it uses less digits than its factorization.

20211222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999117 (or 1999110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20211222012100 its reverse (121022211202), we get a palindrome (20332244223302).

The spelling of 20211222012100 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 14549 29098 58196 72745 101843 145490 203686 290980 363725 407372 509215 727450 1018430 1454900 1984547 2036860 2546075 3969094 5092150 7938188 9922735 10184300 13891829 19845470 27783658 39690940 49613675 55567316 69459145 99227350 138918290 198454700 277836580 347295725 694591450 1389182900 28873174303 57746348606 115492697212 144365871515 202112220121 288731743030 404224440242 577463486060 721829357575 808448880484 1010561100605 1443658715150 2021122201210 2887317430300 4042244402420 5052805503025 10105611006050 20211222012100