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2213220113 = 13213095977
BaseRepresentation
bin1000001111101011…
…0000111100010001
312201020120020020022
42003322300330101
514013041020423
61003340553225
7105563026526
oct20372607421
95636506208
102213220113
11a3633a035
12519252815
132936acb00
1416dd1d14d
15ce47ddc8
hex83eb0f11

2213220113 has 6 divisors (see below), whose sum is σ = 2396563974. Its totient is φ = 2042972256.

The previous prime is 2213220109. The next prime is 2213220131. The reversal of 2213220113 is 3110223122.

It can be written as a sum of positive squares in 3 ways, for example, as 150970369 + 2062249744 = 12287^2 + 45412^2 .

It is not a de Polignac number, because 2213220113 - 22 = 2213220109 is a prime.

It is a super-3 number, since 3×22132201133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2213220091 and 2213220100.

It is not an unprimeable number, because it can be changed into a prime (2213220013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6547820 + ... + 6548157.

It is an arithmetic number, because the mean of its divisors is an integer number (399427329).

Almost surely, 22213220113 is an apocalyptic number.

It is an amenable number.

2213220113 is a deficient number, since it is larger than the sum of its proper divisors (183343861).

2213220113 is a wasteful number, since it uses less digits than its factorization.

2213220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096003 (or 13095990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2213220113 is about 47044.8733976403. The cubic root of 2213220113 is about 1303.1913923184.

Adding to 2213220113 its reverse (3110223122), we get a palindrome (5323443235).

The spelling of 2213220113 in words is "two billion, two hundred thirteen million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 169 13095977 170247701 2213220113