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11000210221 = 71113311073313
BaseRepresentation
bin10100011111010100…
…11110001100101101
31001101121211120121101
422033222132030231
5140012023211341
65015312403101
7536411146510
oct121752361455
931347746541
1011000210221
114735371830
12216bb46491
131063c9c240
14764d26d77
15445ad1831
hex28fa9e32d

11000210221 has 64 divisors (see below), whose sum is σ = 15393079296. Its totient is φ = 7583155200.

The previous prime is 11000210201. The next prime is 11000210237. The reversal of 11000210221 is 12201200011.

It is a cyclic number.

It is not a de Polignac number, because 11000210221 - 221 = 10998113069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000210198 and 11000210207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3318661 + ... + 3321973.

It is an arithmetic number, because the mean of its divisors is an integer number (240516864).

Almost surely, 211000210221 is an apocalyptic number.

11000210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000210221 is a deficient number, since it is larger than the sum of its proper divisors (4392869075).

11000210221 is a wasteful number, since it uses less digits than its factorization.

11000210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000210221 its reverse (12201200011), we get a palindrome (23201410232).

The spelling of 11000210221 in words is "eleven billion, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 13 31 77 91 107 143 217 341 403 749 1001 1177 1391 2387 2821 3313 3317 4433 8239 9737 15301 23191 23219 31031 36443 36487 43069 43121 102703 107107 255101 255409 301483 301847 354491 473759 474331 718921 1129733 1335139 2481437 3316313 3320317 3899401 4608383 7908131 9345973 10989221 14686529 27295807 32258681 50692213 76924547 102805703 120881431 142859873 354845491 846170017 1000019111 1571458603 11000210221