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2100022201020 = 2235101493370249
BaseRepresentation
bin11110100011110011000…
…100111100101010111100
321102202112011021010021210
4132203303010330222330
5233401321140413040
64244423055524420
7304502336120412
oct36436304745274
97382464233253
102100022201020
1173a68386a937
1229abb9229710
13123053847cc3
14738da84d2b2
153995e150480
hex1e8f313cabc

2100022201020 has 96 divisors (see below), whose sum is σ = 5939568936000. Its totient is φ = 554341017600.

The previous prime is 2100022200989. The next prime is 2100022201031. The reversal of 2100022201020 is 201022200012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100022200987 and 2100022201005.

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 31 ways as a sum of consecutive naturals, for example, 29858856 + ... + 29929104.

It is an arithmetic number, because the mean of its divisors is an integer number (61870509750).

Almost surely, 22100022201020 is an apocalyptic number.

2100022201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100022201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969784468000).

2100022201020 is an abundant number, since it is smaller than the sum of its proper divisors (3839546734980).

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

2100022201020 is a wasteful number, since it uses less digits than its factorization.

2100022201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75295 (or 75293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100022201020 its reverse (201022200012), we get a palindrome (2301044401032).

The spelling of 2100022201020 in words is "two trillion, one hundred billion, twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 4933 6060 9866 14799 19732 24665 29598 49330 59196 70249 73995 98660 140498 147990 210747 280996 295980 351245 421494 498233 702490 842988 996466 1053735 1404980 1494699 1992932 2107470 2491165 2989398 4214940 4982330 5978796 7095149 7473495 9964660 14190298 14946990 21285447 28380596 29893980 35475745 42570894 70951490 85141788 106427235 141902980 212854470 346538317 425708940 693076634 1039614951 1386153268 1732691585 2079229902 3465383170 4158459804 5198074755 6930766340 10396149510 20792299020 35000370017 70000740034 105001110051 140001480068 175001850085 210002220102 350003700170 420004440204 525005550255 700007400340 1050011100510 2100022201020