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11000000001221 = 7116011019233267
BaseRepresentation
bin1010000000010010001100…
…0101111011010011000101
31102221120220220122201222122
42200010203011323103011
52420211000000014341
635221155155335325
72213503153200020
oct240044305732305
942846826581878
1011000000001221
11356108a25a920
121297a598b1545
1361a3ac42478a
142a058d5761b7
151412066a994b
hexa012317b4c5

11000000001221 has 32 divisors (see below), whose sum is σ = 13750644741120. Its totient is φ = 8548732368000.

The previous prime is 11000000001181. The next prime is 11000000001343. The reversal of 11000000001221 is 12210000000011.

It is a de Polignac number, because none of the positive numbers 2k-11000000001221 is a prime.

11000000001221 is a modest number, since divided by 1221 gives 11 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11000000001199 and 11000000001208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47039630 + ... + 47272896.

It is an arithmetic number, because the mean of its divisors is an integer number (429707648160).

Almost surely, 211000000001221 is an apocalyptic number.

11000000001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000000001221 is a deficient number, since it is larger than the sum of its proper divisors (2750644739899).

11000000001221 is a wasteful number, since it uses less digits than its factorization.

11000000001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234905.

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

Adding to 11000000001221 its reverse (12210000000011), we get a palindrome (23210000001232).

The spelling of 11000000001221 in words is "eleven trillion, one thousand, two hundred twenty-one".

Divisors: 1 7 11 77 601 1019 4207 6611 7133 11209 46277 78463 233267 612419 1632869 2565937 4286933 6736609 17961559 47156263 140193467 237699073 981354269 1542128137 1663893511 2614689803 10794896959 18302828621 142857142873 1000000000111 1571428571603 11000000001221