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10200100000221 = 328361722130879
BaseRepresentation
bin1001010001101110010101…
…0101100101000111011101
31100010010020111200110211200
42110123211111211013131
52314104301100001341
633405510010310113
72101634662314165
oct224334525450735
940103214613750
1010200100000221
11328292459692a
121188a20a28339
1358cb330bb311
1427398a6015a5
1512a4dc06bdb6
hex946e55651dd

10200100000221 has 24 divisors (see below), whose sum is σ = 14935157153280. Its totient is φ = 6707249457216.

The previous prime is 10200100000193. The next prime is 10200100000243. The reversal of 10200100000221 is 12200000100201.

It is not a de Polignac number, because 10200100000221 - 219 = 10200099475933 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200100000271) 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 23 ways as a sum of consecutive naturals, for example, 10604541 + ... + 11526338.

It is an arithmetic number, because the mean of its divisors is an integer number (622298214720).

Almost surely, 210200100000221 is an apocalyptic number.

It is an amenable number.

10200100000221 is a deficient number, since it is larger than the sum of its proper divisors (4735057153059).

10200100000221 is a wasteful number, since it uses less digits than its factorization.

10200100000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131585 (or 22131582 counting only the distinct ones).

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

Adding to 10200100000221 its reverse (12200000100201), we get a palindrome (22400100100422).

The spelling of 10200100000221 in words is "ten trillion, two hundred billion, one hundred million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 83 249 617 747 1851 5553 51211 153633 460899 22130879 66392637 199177911 1836862957 5510588871 13654752343 16531766613 40964257029 122892771087 1133344444469 3400033333407 10200100000221