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20211112220100 = 22352311216624997
BaseRepresentation
bin1001001100001110001000…
…01010100001010111000100
32122120011102011100110102120
410212013010022201113010
510122114324212020400
6110552505021405540
74154130126211014
oct446070412412704
978504364313376
1020211112220100
116492536a4470a
1223250707098b0
13b37b9085c279
144dc31a0a1c44
15250b0db64ca0
hex1261c42a15c4

20211112220100 has 72 divisors (see below), whose sum is σ = 58665515458368. Its totient is φ = 5372299900800.

The previous prime is 20211112220063. The next prime is 20211112220237. The reversal of 20211112220100 is 102221111202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20211112220100.

It is an unprimeable number.

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, 108219199 + ... + 108405798.

Almost surely, 220211112220100 is an apocalyptic number.

20211112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211112220100 is an abundant number, since it is smaller than the sum of its proper divisors (38454403238268).

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

20211112220100 is a wasteful number, since it uses less digits than its factorization.

20211112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216625325 (or 216625318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20211112220100 its reverse (102221111202), we get a palindrome (20313333331302).

The spelling of 20211112220100 in words is "twenty trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 311 622 933 1244 1555 1866 3110 3732 4665 6220 7775 9330 15550 18660 23325 31100 46650 93300 216624997 433249994 649874991 866499988 1083124985 1299749982 2166249970 2599499964 3249374955 4332499940 5415624925 6498749910 10831249850 12997499820 16246874775 21662499700 32493749550 64987499100 67370374067 134740748134 202111122201 269481496268 336851870335 404222244402 673703740670 808444488804 1010555611005 1347407481340 1684259351675 2021111222010 3368518703350 4042222444020 5052778055025 6737037406700 10105556110050 20211112220100