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20211210011100 = 22352379177759103
BaseRepresentation
bin1001001100001110010011…
…11111100100000111011100
32122120011122222100202110110
410212013021333210013130
510122120024230323400
6110552522433410020
74154132424342663
oct446071177440734
978504588322413
1020211210011100
116492587167519
122325099409910
13b37ba7bab474
144dc329079dda
15250b1752ee50
hex1261c9fe41dc

20211210011100 has 72 divisors (see below), whose sum is σ = 58632062863360. Its totient is φ = 5375435244480.

The previous prime is 20211210011093. The next prime is 20211210011117. The reversal of 20211210011100 is 111001211202.

It is a super-2 number, since 2×202112100111002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88765852 + ... + 88993251.

Almost surely, 220211210011100 is an apocalyptic number.

20211210011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211210011100 is an abundant number, since it is smaller than the sum of its proper divisors (38420852852260).

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

20211210011100 is a wasteful number, since it uses less digits than its factorization.

20211210011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177759499 (or 177759492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20211210011100 its reverse (111001211202), we get a palindrome (20322211222302).

The spelling of 20211210011100 in words is "twenty trillion, two hundred eleven billion, two hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 379 758 1137 1516 1895 2274 3790 4548 5685 7580 9475 11370 18950 22740 28425 37900 56850 113700 177759103 355518206 533277309 711036412 888795515 1066554618 1777591030 2133109236 2666386545 3555182060 4443977575 5332773090 8887955150 10665546180 13331932725 17775910300 26663865450 53327730900 67370700037 134741400074 202112100111 269482800148 336853500185 404224200222 673707000370 808448400444 1010560500555 1347414000740 1684267500925 2021121001110 3368535001850 4042242002220 5052802502775 6737070003700 10105605005550 20211210011100