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211222001220020 = 22577145772111359
BaseRepresentation
bin110000000001101011110100…
…010110011111100110110100
31000200212121220102202012101222
4300001223310112133212310
5210141130124303020040
62025122014153405512
762330200044654560
oct6001536426374664
91020777812665358
10211222001220020
116133582516271a
121b8342a4a09898
1390b21c2b9048b
143a232b12586a0
15196458048cbb5
hexc01af459f9b4

211222001220020 has 48 divisors (see below), whose sum is σ = 506933752442880. Its totient is φ = 72418836201984.

The previous prime is 211222001219987. The next prime is 211222001220047. The reversal of 211222001220020 is 20022100222112.

It is a happy number.

211222001220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112220012200202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98985101 + ... + 101096459.

It is an arithmetic number, because the mean of its divisors is an integer number (10561119842560).

Almost surely, 2211222001220020 is an apocalyptic number.

211222001220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222001220020 is an abundant number, since it is smaller than the sum of its proper divisors (295711751222860).

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

211222001220020 is a wasteful number, since it uses less digits than its factorization.

211222001220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825952 (or 2825950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211222001220020 its reverse (20022100222112), we get a palindrome (231244101442132).

The spelling of 211222001220020 in words is "two hundred eleven trillion, two hundred twenty-two billion, one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 714577 1429154 2111359 2858308 3572885 4222718 5002039 7145770 8445436 10004078 10556795 14291540 14779513 20008156 21113590 25010195 29559026 42227180 50020390 59118052 73897565 100040780 147795130 295590260 1508728580143 3017457160286 6034914320572 7543642900715 10561100061001 15087285801430 21122200122002 30174571602860 42244400244004 52805500305005 105611000610010 211222001220020