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4131122314 = 211678333767
BaseRepresentation
bin1111011000111011…
…1110110010001010
3101122220102202110011
43312032332302022
531430031403224
61521532142134
7204241650244
oct36616766212
911586382404
104131122314
11182aa02380
1297360794a
1350ab40c97
142b2927094
15192a26394
hexf63bec8a

4131122314 has 32 divisors (see below), whose sum is σ = 6943781376. Its totient is φ = 1827415920.

The previous prime is 4131122311. The next prime is 4131122327. The reversal of 4131122314 is 4132211314.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4131122311) 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, 105459 + ... + 139225.

It is an arithmetic number, because the mean of its divisors is an integer number (216993168).

Almost surely, 24131122314 is an apocalyptic number.

4131122314 is a deficient number, since it is larger than the sum of its proper divisors (2812659062).

4131122314 is a wasteful number, since it uses less digits than its factorization.

4131122314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33930.

The product of its digits is 576, while the sum is 22.

The square root of 4131122314 is about 64273.8073712768. The cubic root of 4131122314 is about 1604.5602084328.

Adding to 4131122314 its reverse (4132211314), we get a palindrome (8263333628).

The spelling of 4131122314 in words is "four billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 11 22 67 83 134 166 737 913 1474 1826 5561 11122 33767 61171 67534 122342 371437 742874 2262389 2802661 4524778 5605322 24886279 30829271 49772558 61658542 187778287 375556574 2065561157 4131122314