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312121323 = 3361189509
BaseRepresentation
bin10010100110101…
…001011111101011
3210202022101222000
4102212221133223
51114400340243
650545502043
710506662463
oct2246513753
9722271860
10312121323
11150203408
1288641923
134c883097
142d64aba3
151c6055d3
hex129a97eb

312121323 has 16 divisors (see below), whose sum is σ = 469984800. Its totient is φ = 204668640.

The previous prime is 312121321. The next prime is 312121331. The reversal of 312121323 is 323121213.

It is not a de Polignac number, because 312121323 - 21 = 312121321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312121296 and 312121305.

It is not an unprimeable number, because it can be changed into a prime (312121321) 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 15 ways as a sum of consecutive naturals, for example, 93108 + ... + 96401.

It is an arithmetic number, because the mean of its divisors is an integer number (29374050).

Almost surely, 2312121323 is an apocalyptic number.

312121323 is a deficient number, since it is larger than the sum of its proper divisors (157863477).

312121323 is a wasteful number, since it uses less digits than its factorization.

312121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189579 (or 189573 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 312121323 is about 17666.9556800259. The cubic root of 312121323 is about 678.3301900191.

Adding to 312121323 its reverse (323121213), we get a palindrome (635242536).

It can be divided in two parts, 31212 and 1323, that multiplied together give a square (41293476 = 64262).

The spelling of 312121323 in words is "three hundred twelve million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 27 61 183 549 1647 189509 568527 1705581 5116743 11560049 34680147 104040441 312121323