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11020000102221 = 31123109133202791
BaseRepresentation
bin1010000001011100101100…
…1100010000011101001101
31110000111112202101010210010
42200113023030100131031
52421022430011232341
635234303531103433
72215111606224255
oct240271314203515
943014482333703
1011020000102221
113569612848810
12129b8bb8a1b79
1361c248b36376
142a1529886965
151419c7445716
hexa05cb31074d

11020000102221 has 32 divisors (see below), whose sum is σ = 16879457802240. Its totient is φ = 6329796580800.

The previous prime is 11020000102219. The next prime is 11020000102229. The reversal of 11020000102221 is 12220100002011.

It is not a de Polignac number, because 11020000102221 - 21 = 11020000102219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11020000102197 and 11020000102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020000102229) 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 31 ways as a sum of consecutive naturals, for example, 66518665 + ... + 66684126.

It is an arithmetic number, because the mean of its divisors is an integer number (527483056320).

Almost surely, 211020000102221 is an apocalyptic number.

11020000102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11020000102221 is a deficient number, since it is larger than the sum of its proper divisors (5859457700019).

11020000102221 is a wasteful number, since it uses less digits than its factorization.

11020000102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133202937.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020000102221 its reverse (12220100002011), we get a palindrome (23240100104232).

The spelling of 11020000102221 in words is "eleven trillion, twenty billion, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 23 33 69 109 253 327 759 1199 2507 3597 7521 27577 82731 133202791 399608373 1465230701 3063664193 4395692103 9190992579 14519104219 33700306123 43557312657 101100918369 159710146409 333939397037 479130439227 1001818191111 3673333367407 11020000102221