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312300120321 = 3471732399639
BaseRepresentation
bin1001000101101101000…
…10011010100100000001
31002212002201202212210000
410202312202122210001
520104042312322241
6355245123230213
731364042136420
oct4426642324401
91085081685700
10312300120321
1111049a3047a2
1250638818369
13235b0203c07
14111889652b7
1581cc463eb6
hex48b689a901

312300120321 has 40 divisors (see below), whose sum is σ = 564531327360. Its totient is φ = 167959723392.

The previous prime is 312300120311. The next prime is 312300120359. The reversal of 312300120321 is 123021003213.

312300120321 is a `hidden beast` number, since 31 + 2 + 300 + 12 + 0 + 321 = 666.

It is not a de Polignac number, because 312300120321 - 26 = 312300120257 is a prime.

It is a super-2 number, since 2×3123001203212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312300120294 and 312300120303.

It is not an unprimeable number, because it can be changed into a prime (312300120311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16190181 + ... + 16209458.

It is an arithmetic number, because the mean of its divisors is an integer number (14113283184).

Almost surely, 2312300120321 is an apocalyptic number.

It is an amenable number.

312300120321 is a deficient number, since it is larger than the sum of its proper divisors (252231207039).

312300120321 is a wasteful number, since it uses less digits than its factorization.

312300120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32399675 (or 32399666 counting only the distinct ones).

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

Adding to 312300120321 its reverse (123021003213), we get a palindrome (435321123534).

The spelling of 312300120321 in words is "three hundred twelve billion, three hundred million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 567 1071 1377 3213 9639 32399639 97198917 226797473 291596751 550793863 680392419 874790253 1652381589 2041177257 2624370759 3855557041 4957144767 6123531771 11566671123 14871434301 18370595313 34700013369 44614302903 104100040107 312300120321