Search a number
-
+
111020202221101 = 1723397609287149
BaseRepresentation
bin11001001111100011100111…
…101101110101111000101101
3112120002102112210000101001021
4121033203213231311320231
5104022423333232033401
61032041550554014141
732245642051360435
oct3117434755657055
9476072483011037
10111020202221101
1132413448954888
1210550561117351
1349c4210ac8b84
141d5b59946d2c5
15cc7d5483c2a1
hex64f8e7b75e2d

111020202221101 has 16 divisors (see below), whose sum is σ = 118056932838000. Its totient is φ = 104039720644608.

The previous prime is 111020202221087. The next prime is 111020202221219. The reversal of 111020202221101 is 101122202020111.

It can be written as a sum of positive squares in 8 ways, for example, as 284547564900 + 110735654656201 = 533430^2 + 10523101^2 .

It is a cyclic number.

It is not a de Polignac number, because 111020202221101 - 27 = 111020202220973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020202224101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386485675 + ... + 386772823.

It is an arithmetic number, because the mean of its divisors is an integer number (7378558302375).

Almost surely, 2111020202221101 is an apocalyptic number.

It is an amenable number.

111020202221101 is a deficient number, since it is larger than the sum of its proper divisors (7036730616899).

111020202221101 is a wasteful number, since it uses less digits than its factorization.

111020202221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385008.

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

Adding to 111020202221101 its reverse (101122202020111), we get a palindrome (212142404241212).

The spelling of 111020202221101 in words is "one hundred eleven trillion, twenty billion, two hundred two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 17 233 3961 97609 287149 1659353 4881533 22742897 66905717 386629249 1137397189 28028326741 476481554597 6530600130653 111020202221101