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20101220001100 = 2252791373142829
BaseRepresentation
bin1001001001000001011100…
…00100111110010101001100
32122011122202120202022210101
410210200232010332111030
510113314244310013400
6110430212322020444
74143156653600620
oct444405604762514
978148676668711
1020101220001100
11644a974720007
122307901aa7724
13b2a6c979b704
144d6c93337180
1524cd2b25c56a
hex12482e13e54c

20101220001100 has 72 divisors (see below), whose sum is σ = 49856497417440. Its totient is φ = 6891090385920.

The previous prime is 20101220001089. The next prime is 20101220001173. The reversal of 20101220001100 is 110002210102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 4824486 + ... + 7967314.

It is an arithmetic number, because the mean of its divisors is an integer number (692451353020).

Almost surely, 220101220001100 is an apocalyptic number.

20101220001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101220001100 is an abundant number, since it is smaller than the sum of its proper divisors (29755277416340).

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

20101220001100 is a wasteful number, since it uses less digits than its factorization.

20101220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151987 (or 3151980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101220001100 its reverse (110002210102), we get a palindrome (20211222211202).

The spelling of 20101220001100 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 9137 18274 36548 45685 63959 91370 127918 182740 228425 255836 319795 456850 639590 913700 1279180 1598975 3142829 3197950 6285658 6395900 12571316 15714145 21999803 31428290 43999606 62856580 78570725 87999212 109999015 157141450 219998030 314282900 439996060 549995075 1099990150 2199980300 28716028573 57432057146 114864114292 143580142865 201012200011 287160285730 402024400022 574320571460 717900714325 804048800044 1005061000055 1435801428650 2010122000110 2871602857300 4020244000220 5025305000275 10050610000550 20101220001100