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11001220210020 = 22351096211270833
BaseRepresentation
bin1010000000010110101111…
…0100101001110101100100
31102221201001221200202210010
42200011223310221311210
52420220444333210040
635221520224530220
72213545330614045
oct240055364516544
942851057622703
1011001220210020
113561656009847
12129813a480970
1361a545173411
142a06676468cc
15141278887e80
hexa016bd29d64

11001220210020 has 96 divisors (see below), whose sum is σ = 31091136531840. Its totient is φ = 2906265692160.

The previous prime is 11001220209953. The next prime is 11001220210051. The reversal of 11001220210020 is 2001202210011.

It is a super-2 number, since 2×110012202100202 (a number of 27 digits) contains 22 as substring.

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 = 11001220209978 and 11001220210005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40484524 + ... + 40755356.

It is an arithmetic number, because the mean of its divisors is an integer number (323866005540).

Almost surely, 211001220210020 is an apocalyptic number.

11001220210020 is a gapful number since it is divisible by the number (10) 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 11001220210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545568265920).

11001220210020 is an abundant number, since it is smaller than the sum of its proper divisors (20089916321820).

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

11001220210020 is a wasteful number, since it uses less digits than its factorization.

11001220210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277165 (or 277163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001220210020 its reverse (2001202210011), we get a palindrome (13002422420031).

Subtracting from 11001220210020 its reverse (2001202210011), we obtain a square (9000018000009 = 30000032).

The spelling of 11001220210020 in words is "eleven trillion, one billion, two hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6211 6540 12422 18633 24844 31055 37266 62110 74532 93165 124220 186330 270833 372660 541666 676999 812499 1083332 1353998 1354165 1624998 2030997 2707996 2708330 3249996 3384995 4061994 4062495 5416660 6769990 8123988 8124990 10154985 13539980 16249980 20309970 29520797 40619940 59041594 88562391 118083188 147603985 177124782 295207970 354249564 442811955 590415940 885623910 1682143763 1771247820 3364287526 5046431289 6728575052 8410718815 10092862578 16821437630 20185725156 25232156445 33642875260 50464312890 100928625780 183353670167 366707340334 550061010501 733414680668 916768350835 1100122021002 1833536701670 2200244042004 2750305052505 3667073403340 5500610105010 11001220210020