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220141313 = 7173595153
BaseRepresentation
bin11010001111100…
…01011100000001
3120100020100002222
431013301130001
5422324010223
633502220425
75312112260
oct1507613401
9510210088
10220141313
1110329a477
1261884715
13367b9b42
14213465d7
15144d70c8
hexd1f1701

220141313 has 16 divisors (see below), whose sum is σ = 267183360. Its totient is φ = 177063936.

The previous prime is 220141309. The next prime is 220141399. The reversal of 220141313 is 313141022.

It is not a de Polignac number, because 220141313 - 22 = 220141309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220141291 and 220141300.

It is not an unprimeable number, because it can be changed into a prime (220146313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40145 + ... + 45297.

It is an arithmetic number, because the mean of its divisors is an integer number (16698960).

Almost surely, 2220141313 is an apocalyptic number.

It is an amenable number.

220141313 is a deficient number, since it is larger than the sum of its proper divisors (47042047).

220141313 is a wasteful number, since it uses less digits than its factorization.

220141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536.

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

The square root of 220141313 is about 14837.1598697325. The cubic root of 220141313 is about 603.8103005354.

Adding to 220141313 its reverse (313141022), we get a palindrome (533282335).

The spelling of 220141313 in words is "two hundred twenty million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 7 17 119 359 2513 5153 6103 36071 42721 87601 613207 1849927 12949489 31448759 220141313