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312613323 = 31117232779
BaseRepresentation
bin10010101000100…
…001100111001011
3210210020101212020
4102220201213023
51120012111243
651004215523
710514112051
oct2250414713
9723211766
10312613323
1115050a020
128883a5a3
134c9c5cc9
142d7381d1
151c6a1283
hex12a219cb

312613323 has 24 divisors (see below), whose sum is σ = 483046080. Its totient is φ = 178312320.

The previous prime is 312613321. The next prime is 312613361. The reversal of 312613323 is 323316213.

It is a happy number.

It is not a de Polignac number, because 312613323 - 21 = 312613321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312613293 and 312613302.

It is not an unprimeable number, because it can be changed into a prime (312613321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6853 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (20126920).

Almost surely, 2312613323 is an apocalyptic number.

312613323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312613323 is a deficient number, since it is larger than the sum of its proper divisors (170432757).

312613323 is a wasteful number, since it uses less digits than its factorization.

312613323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32827 (or 32810 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 312613323 is about 17680.8744976033. The cubic root of 312613323 is about 678.6864224880.

Adding to 312613323 its reverse (323316213), we get a palindrome (635929536).

The spelling of 312613323 in words is "three hundred twelve million, six hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 32779 98337 360569 557243 1081707 1671729 6129673 9473131 18389019 28419393 104204441 312613323