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20112021221100 = 22352312162582927
BaseRepresentation
bin1001001001010101100011…
…11000010110111011101100
32122012200122100011011010120
410210222301320112323230
510114003404413033400
6110435200205404540
74144021430500134
oct444526170267354
978180570134116
1020112021221100
116454507729506
122309a17269750
13b2b72b478153
144d75d9a61ac4
1524d25e633ca0
hex124ab1e16eec

20112021221100 has 72 divisors (see below), whose sum is σ = 60067903408128. Its totient is φ = 5190199022400.

The previous prime is 20112021221051. The next prime is 20112021221111. The reversal of 20112021221100 is 112212021102.

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 20112021221100.

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, 1081282164 + ... + 1081300763.

It is an arithmetic number, because the mean of its divisors is an integer number (834276436224).

Almost surely, 220112021221100 is an apocalyptic number.

20112021221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112021221100 is an abundant number, since it is smaller than the sum of its proper divisors (39955882187028).

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

20112021221100 is a wasteful number, since it uses less digits than its factorization.

20112021221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162582975 (or 2162582968 counting only the distinct ones).

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

Adding to 20112021221100 its reverse (112212021102), we get a palindrome (20224233242202).

The spelling of 20112021221100 in words is "twenty trillion, one hundred twelve billion, twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 2162582927 4325165854 6487748781 8650331708 10812914635 12975497562 21625829270 25950995124 32438743905 43251658540 54064573175 64877487810 67040070737 108129146350 129754975620 134080141474 162193719525 201120212211 216258292700 268160282948 324387439050 335200353685 402240424422 648774878100 670400707370 804480848844 1005601061055 1340801414740 1676001768425 2011202122110 3352003536850 4022404244220 5028005305275 6704007073700 10056010610550 20112021221100