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10000211921 = 726927119597
BaseRepresentation
bin10010101000000111…
…10001111111010001
3221210221011101211022
421110003301333101
5130440023240141
64332151125225
7502546253540
oct112403617721
927727141738
1010000211921
11427194a257
121b31073815
13c34a62a7b
146ac1ba157
153d7e00b4b
hex2540f1fd1

10000211921 has 16 divisors (see below), whose sum is σ = 11514216960. Its totient is φ = 8507799360.

The previous prime is 10000211863. The next prime is 10000211927. The reversal of 10000211921 is 12911200001.

10000211921 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 10000211921 - 26 = 10000211857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000211921.

It is not an unprimeable number, because it can be changed into a prime (10000211927) 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 15 ways as a sum of consecutive naturals, for example, 500495 + ... + 520091.

It is an arithmetic number, because the mean of its divisors is an integer number (719638560).

Almost surely, 210000211921 is an apocalyptic number.

It is an amenable number.

10000211921 is a deficient number, since it is larger than the sum of its proper divisors (1514005039).

10000211921 is a wasteful number, since it uses less digits than its factorization.

10000211921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10000211921 its reverse (12911200001), we get a palindrome (22911411922).

The spelling of 10000211921 in words is "ten billion, two hundred eleven thousand, nine hundred twenty-one".

Divisors: 1 7 269 271 1883 1897 19597 72899 137179 510293 5271593 5310787 36901151 37175509 1428601703 10000211921