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312236243112 = 233257220722937
BaseRepresentation
bin1001000101100101011…
…10101111100010101000
31002211221021120120201110
410202302232233202220
520103424434234422
6355234522150320
731362335163453
oct4426256574250
91084837516643
10312236243112
11110467245912
125061b3523a0
132359cbca251
141118029849a
1581c6a4760c
hex48b2baf8a8

312236243112 has 64 divisors (see below), whose sum is σ = 784017169920. Its totient is φ = 103622279168.

The previous prime is 312236243107. The next prime is 312236243119. The reversal of 312236243112 is 211342632213.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312236243112.

It is not an unprimeable number, because it can be changed into a prime (312236243119) 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, 13601308 + ... + 13624244.

It is an arithmetic number, because the mean of its divisors is an integer number (12250268280).

Almost surely, 2312236243112 is an apocalyptic number.

It is an amenable number.

312236243112 is an abundant number, since it is smaller than the sum of its proper divisors (471780926808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312236243112 is a wasteful number, since it uses less digits than its factorization.

312236243112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25410 (or 25406 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 312236243112 its reverse (211342632213), we get a palindrome (523578875325).

The spelling of 312236243112 in words is "three hundred twelve billion, two hundred thirty-six million, two hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 2207 3084 4414 6168 6621 8828 13242 17656 22937 26484 45874 52968 68811 91748 137622 183496 275244 550488 567199 1134398 1701597 2268796 3403194 4537592 5894809 6806388 11789618 13612776 17684427 23579236 35368854 47158472 50621959 70737708 101243918 141475416 151865877 202487836 303731754 404975672 607463508 1214927016 13009843463 26019686926 39029530389 52039373852 78059060778 104078747704 156118121556 312236243112