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220141311 = 31334716267
BaseRepresentation
bin11010001111100…
…01011011111111
3120100020100002220
431013301123333
5422324010221
633502220423
75312112255
oct1507613377
9510210086
10220141311
1110329a475
1261884713
13367b9b40
14213465d5
15144d70c6
hexd1f16ff

220141311 has 16 divisors (see below), whose sum is σ = 317030784. Its totient is φ = 135072864.

The previous prime is 220141309. The next prime is 220141399. The reversal of 220141311 is 113141022.

It is not a de Polignac number, because 220141311 - 21 = 220141309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220141511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5400 + ... + 21666.

It is an arithmetic number, because the mean of its divisors is an integer number (19814424).

Almost surely, 2220141311 is an apocalyptic number.

220141311 is a deficient number, since it is larger than the sum of its proper divisors (96889473).

220141311 is a wasteful number, since it uses less digits than its factorization.

220141311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 220141311 is about 14837.1598023341. The cubic root of 220141311 is about 603.8102987069.

Adding to 220141311 its reverse (113141022), we get a palindrome (333282333).

The spelling of 220141311 in words is "two hundred twenty million, one hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 13 39 347 1041 4511 13533 16267 48801 211471 634413 5644649 16933947 73380437 220141311