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10020221222211 = 32101569130114891
BaseRepresentation
bin1001000111010000001110…
…1110011111110101000011
31022110220221110000202220100
42101310003232133311003
52303132403113102321
633151120500013443
72052636265035024
oct221640356376503
938426843022810
1010020221222211
113213608720612
121159b9b991283
13578b9760ac75
14268da495cc4b
151259b030b326
hex91d03b9fd43

10020221222211 has 48 divisors (see below), whose sum is σ = 14654884214880. Its totient is φ = 6596865600000.

The previous prime is 10020221222203. The next prime is 10020221222227. The reversal of 10020221222211 is 11222212202001.

It is a happy number.

10020221222211 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 221 + 222 + 211 = 666.

It is not a de Polignac number, because 10020221222211 - 23 = 10020221222203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020222222211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 672897076 + ... + 672911966.

It is an arithmetic number, because the mean of its divisors is an integer number (305310087810).

Almost surely, 210020221222211 is an apocalyptic number.

10020221222211 is a deficient number, since it is larger than the sum of its proper divisors (4634662992669).

10020221222211 is a wasteful number, since it uses less digits than its factorization.

10020221222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16868 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10020221222211 its reverse (11222212202001), we get a palindrome (21242433424212).

The spelling of 10020221222211 in words is "ten trillion, twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 101 303 569 909 1301 1707 3903 5121 11709 14891 44673 57469 131401 134019 172407 394203 517221 740269 1182609 1503991 2220807 4511973 6662421 8472979 13535919 19373191 25418937 58119573 74767169 76256811 174358719 224301507 672904521 855770879 1956692291 2567312637 5870076873 7701937911 11023345679 17610230619 33070037037 99210111111 1113357913579 3340073740737 10020221222211