Search a number
-
+
312223320321 = 311173400113669
BaseRepresentation
bin1001000101100011111…
…01011100100100000001
31002211220101021000222120
410202301331130210001
520103413132222241
6355233341154453
731362120301623
oct4426175344401
91084811230876
10312223320321
1111045aa19820
1250616b5ba29
132359a324223
141117c692c13
1581c5843666
hex48b1f5c901

312223320321 has 32 divisors (see below), whose sum is σ = 456915703680. Its totient is φ = 188071680000.

The previous prime is 312223320313. The next prime is 312223320337. The reversal of 312223320321 is 123023322213.

It is not a de Polignac number, because 312223320321 - 23 = 312223320313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312223320291 and 312223320300.

It is not an unprimeable number, because it can be changed into a prime (312223324321) 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 31 ways as a sum of consecutive naturals, for example, 22834875 + ... + 22848543.

It is an arithmetic number, because the mean of its divisors is an integer number (14278615740).

Almost surely, 2312223320321 is an apocalyptic number.

It is an amenable number.

312223320321 is a deficient number, since it is larger than the sum of its proper divisors (144692383359).

312223320321 is a wasteful number, since it uses less digits than its factorization.

312223320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312223320321 its reverse (123023322213), we get a palindrome (435246642534).

The spelling of 312223320321 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 33 173 519 1903 4001 5709 12003 13669 41007 44011 132033 150359 451077 692173 2076519 2364737 7094211 7613903 22841709 26012107 54689669 78036321 164069007 601586359 1804759077 9461312737 28383938211 104074440107 312223320321