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20011100022000 = 2432531111727779
BaseRepresentation
bin1001000110011001100101…
…00000100010010011110000
32121212001010222010001021200
410203030302200202103300
510110330213101201000
6110320550014051200
74133516466451023
oct443146240422360
977761128101250
1020011100022000
11641572930193a
1222b2350aa9b00
13b22066b5bba9
144d27845271ba
1524a8045d1500
hex1233328224f0

20011100022000 has 120 divisors (see below), whose sum is σ = 69892102073040. Its totient is φ = 5336293334400.

The previous prime is 20011100021947. The next prime is 20011100022029. The reversal of 20011100022000 is 22000111002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 555845890 + ... + 555881889.

It is an arithmetic number, because the mean of its divisors is an integer number (582434183942).

Almost surely, 220011100022000 is an apocalyptic number.

20011100022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011100022000 is an abundant number, since it is smaller than the sum of its proper divisors (49881002051040).

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

20011100022000 is a wasteful number, since it uses less digits than its factorization.

20011100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111727808 (or 1111727789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20011100022000 its reverse (22000111002), we get a palindrome (20033100133002).

The spelling of 20011100022000 in words is "twenty trillion, eleven billion, one hundred million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1111727779 2223455558 3335183337 4446911116 5558638895 6670366674 8893822232 10005550011 11117277790 13340733348 16675916685 17787644464 20011100022 22234555580 26681466696 27793194475 33351833370 40022200044 44469111160 50027750055 53362933392 55586388950 66703666740 80044400088 83379583425 88938222320 100055500110 111172777900 133407333480 138965972375 160088800176 166759166850 200111000220 222345555800 250138750275 266814666960 277931944750 333518333700 400222000440 416897917125 444691111600 500277500550 555863889500 667036667400 800444000880 833795834250 1000555001100 1111727779000 1250693751375 1334073334800 1667591668500 2001110002200 2223455558000 2501387502750 3335183337000 4002220004400 5002775005500 6670366674000 10005550011000 20011100022000