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11221220221211 = 7111316921662491
BaseRepresentation
bin1010001101001010010011…
…0110000110000100011011
31110201201221010112021212202
42203102210312012010123
52432322024334034321
635510542444400415
72235464204062430
oct243224466060433
943651833467782
1011221220221211
113636990307410
1213128b7b4610b
13635205b72330
142ab177a13b87
15146d52a7b70b
hexa34a4d8611b

11221220221211 has 32 divisors (see below), whose sum is σ = 15067166854656. Its totient is φ = 8070718176000.

The previous prime is 11221220221199. The next prime is 11221220221217. The reversal of 11221220221211 is 11212202212211.

It is a cyclic number.

It is not a de Polignac number, because 11221220221211 - 210 = 11221220220187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221220221217) 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, 16606676 + ... + 17269166.

It is an arithmetic number, because the mean of its divisors is an integer number (470848964208).

Almost surely, 211221220221211 is an apocalyptic number.

11221220221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221220221211 is a deficient number, since it is larger than the sum of its proper divisors (3845946633445).

11221220221211 is a wasteful number, since it uses less digits than its factorization.

11221220221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679443.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11221220221211 its reverse (11212202212211), we get a palindrome (22433422433422).

The spelling of 11221220221211 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 16921 118447 186131 219973 662491 1302917 1539811 2419703 4637437 7287401 8612383 16937921 51011807 60286681 94736213 663153491 11210010211 78470071477 123310112321 145730132743 863170786247 1020110929201 1603031460173 11221220221211