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11112100220221 = 7111324491901833
BaseRepresentation
bin1010000110110011110011…
…0010010100110100111101
31110100022021100222220012121
42201230330302110310331
52424030040124021341
635344454532202541
72224552126265650
oct241547462246475
943308240886177
1011112100220221
1135a4684978610
1212b5723a69451
13627b35a88100
142a5b85661897
151440b7d5e4d1
hexa1b3cc94d3d

11112100220221 has 48 divisors (see below), whose sum is σ = 15035138870400. Its totient is φ = 7974914088960.

The previous prime is 11112100220219. The next prime is 11112100220233. The reversal of 11112100220221 is 12202200121111.

It is not a de Polignac number, because 11112100220221 - 21 = 11112100220219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112100220195 and 11112100220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112100220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891921 + ... + 6793753.

It is an arithmetic number, because the mean of its divisors is an integer number (313232059800).

Almost surely, 211112100220221 is an apocalyptic number.

11112100220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11112100220221 is a deficient number, since it is larger than the sum of its proper divisors (3923038650179).

11112100220221 is a wasteful number, since it uses less digits than its factorization.

11112100220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902326 (or 1902313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11112100220221 its reverse (12202200121111), we get a palindrome (23314300341332).

The spelling of 11112100220221 in words is "eleven trillion, one hundred twelve billion, one hundred million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 169 449 1001 1183 1859 3143 4939 5837 13013 34573 40859 64207 75881 449449 531167 834691 1901833 5842837 13312831 20920163 24723829 146441141 173066803 271962119 321409777 853923017 1903734833 2249868439 3535507547 5977461119 9393153187 11100999221 24748552829 65752072309 77706994547 122110991431 144312989873 854776940017 1010190929111 1587442888603 11112100220221