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2213101323 = 321989145417
BaseRepresentation
bin1000001111101001…
…0011111100001011
312201020100012021200
42003322103330023
514013023220243
61003334235243
7105562023306
oct20372237413
95636305250
102213101323
11a36268864
125191b5b23
1329366aa14
1416dccbb3d
15ce458ad3
hex83e93f0b

2213101323 has 24 divisors (see below), whose sum is σ = 3402781200. Its totient is φ = 1382033664.

The previous prime is 2213101291. The next prime is 2213101333. The reversal of 2213101323 is 3231013122.

2213101323 is a `hidden beast` number, since 221 + 310 + 132 + 3 = 666.

It is not a de Polignac number, because 2213101323 - 25 = 2213101291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213101296 and 2213101305.

It is not an unprimeable number, because it can be changed into a prime (2213101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57490 + ... + 87927.

It is an arithmetic number, because the mean of its divisors is an integer number (141782550).

Almost surely, 22213101323 is an apocalyptic number.

2213101323 is a deficient number, since it is larger than the sum of its proper divisors (1189679877).

2213101323 is a wasteful number, since it uses less digits than its factorization.

2213101323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145531 (or 145528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2213101323 is about 47043.6108626878. The cubic root of 2213101323 is about 1303.1680765361.

Adding to 2213101323 its reverse (3231013122), we get a palindrome (5444114445).

The spelling of 2213101323 in words is "two billion, two hundred thirteen million, one hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 19 57 89 171 267 801 1691 5073 15219 145417 436251 1308753 2762923 8288769 12942113 24866307 38826339 116479017 245900147 737700441 2213101323