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11110021220221 = 7111719446705851
BaseRepresentation
bin1010000110101100000011…
…0111100100011101111101
31110100002220110222202100121
42201223000313210131331
52424011310413021341
635343512344054541
72224446453134320
oct241530067443575
943302813882317
1011110021220221
1135a38083830a0
1212b5243764451
136278941408b1
142a5a294c07b7
15143ee55944d1
hexa1ac0de477d

11110021220221 has 32 divisors (see below), whose sum is σ = 15438154245120. Its totient is φ = 7719077088000.

The previous prime is 11110021220189. The next prime is 11110021220251. The reversal of 11110021220221 is 12202212001111.

It is a cyclic number.

It is not a de Polignac number, because 11110021220221 - 25 = 11110021220189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11110021220195 and 11110021220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110021220251) 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 31 ways as a sum of consecutive naturals, for example, 223328055 + ... + 223377796.

It is an arithmetic number, because the mean of its divisors is an integer number (482442320160).

Almost surely, 211110021220221 is an apocalyptic number.

11110021220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110021220221 is a deficient number, since it is larger than the sum of its proper divisors (4328133024899).

11110021220221 is a wasteful number, since it uses less digits than its factorization.

11110021220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446705905.

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

Adding to 11110021220221 its reverse (12202212001111), we get a palindrome (23312233221332).

The spelling of 11110021220221 in words is "eleven trillion, one hundred ten billion, twenty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 17 19 77 119 133 187 209 323 1309 1463 2261 3553 24871 446705851 3126940957 4913764361 7593999467 8487411169 34396350527 53157996269 59411878183 83533994137 93361522859 144285989873 584737958959 653530660013 1010001929111 1587145888603 11110021220221