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11011122200221 = 1113511315059819
BaseRepresentation
bin1010000000111011101000…
…0001101111111010011101
31102222122122001000222201221
42200032322001233322131
52420401234240401341
635230234550533341
72214345605263123
oct240167201577235
942878561028657
1011011122200221
113565877471620
12129a042667251
1361b462765c10
142a0d26775913
15141657d35ed1
hexa03ba06fe9d

11011122200221 has 16 divisors (see below), whose sum is σ = 12938674472640. Its totient is φ = 9238294753920.

The previous prime is 11011122200219. The next prime is 11011122200227. The reversal of 11011122200221 is 12200222111011.

It is a cyclic number.

It is not a de Polignac number, because 11011122200221 - 21 = 11011122200219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011122200195 and 11011122200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011122200227) 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 15 ways as a sum of consecutive naturals, for example, 6798751 + ... + 8261068.

It is an arithmetic number, because the mean of its divisors is an integer number (808667154540).

Almost surely, 211011122200221 is an apocalyptic number.

11011122200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011122200221 is a deficient number, since it is larger than the sum of its proper divisors (1927552272419).

11011122200221 is a wasteful number, since it uses less digits than its factorization.

11011122200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064956.

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

Adding to 11011122200221 its reverse (12200222111011), we get a palindrome (23211344311232).

The spelling of 11011122200221 in words is "eleven trillion, eleven billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 11 13 143 5113 56243 66469 731159 15059819 165658009 195777647 2153554117 77000854547 847009400017 1001011109111 11011122200221