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10001020211 = 7136110916529
BaseRepresentation
bin10010101000001101…
…10111010100110011
3221210222200110120222
421110012313110303
5130440230121321
64332220323255
7502556161220
oct112406672463
927728613528
1010001020211
114272351566
121b313a352b
13c34c86950
146ac34a947
153d80103ab
hex2541b7533

10001020211 has 32 divisors (see below), whose sum is σ = 12626275200. Its totient is φ = 7711303680.

The previous prime is 10001020201. The next prime is 10001020213. The reversal of 10001020211 is 11202010001.

10001020211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001020211 - 214 = 10001003827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001020213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596795 + ... + 613323.

It is an arithmetic number, because the mean of its divisors is an integer number (394571100).

Almost surely, 210001020211 is an apocalyptic number.

10001020211 is a deficient number, since it is larger than the sum of its proper divisors (2625254989).

10001020211 is a wasteful number, since it uses less digits than its factorization.

10001020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001020211 its reverse (11202010001), we get a palindrome (21203030212).

The spelling of 10001020211 in words is "ten billion, one million, twenty thousand, two hundred eleven".

Divisors: 1 7 13 61 91 109 427 763 793 1417 5551 6649 9919 16529 46543 86437 115703 214877 605059 1008269 1504139 1801661 7057883 12611627 13107497 23421593 91752479 109901321 163951151 769309247 1428717173 10001020211