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201222011101000 = 23531071880579543
BaseRepresentation
bin101101110000001010100110…
…011111100001111101001000
3222101110122011221002221201211
4231300022212133201331020
5202333310134320213000
61551544041000222504
760245545006302631
oct5560124637417510
9871418157087654
10201222011101000
115912a8594683aa
121a69a21046aa34
138838200ab45b6
1437992a957c888
15183e3a634c7ba
hexb702a67e1f48

201222011101000 has 64 divisors (see below), whose sum is σ = 475260062359680. Its totient is φ = 79736572580800.

The previous prime is 201222011100997. The next prime is 201222011101003. The reversal of 201222011101000 is 101110222102.

201222011101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201222011100997) and next prime (201222011101003).

It is not an unprimeable number, because it can be changed into a prime (201222011101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940182772 + ... + 940396771.

It is an arithmetic number, because the mean of its divisors is an integer number (7425938474370).

Almost surely, 2201222011101000 is an apocalyptic number.

201222011101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222011101000 is an abundant number, since it is smaller than the sum of its proper divisors (274038051258680).

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

201222011101000 is a wasteful number, since it uses less digits than its factorization.

201222011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880579671 (or 1880579657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201222011101000 its reverse (101110222102), we get a palindrome (201323121323102).

The spelling of 201222011101000 in words is "two hundred one trillion, two hundred twenty-two billion, eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 107000 1880579543 3761159086 7522318172 9402897715 15044636344 18805795430 37611590860 47014488575 75223181720 94028977150 188057954300 201222011101 235072442875 376115908600 402444022202 470144885750 804888044404 940289771500 1006110055505 1609776088808 1880579543000 2012220111010 4024440222020 5030550277525 8048880444040 10061100555050 20122201110100 25152751387625 40244402220200 50305502775250 100611005550500 201222011101000