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312300201321 = 3441792711863
BaseRepresentation
bin1001000101101101000…
…10101110010101101001
31002212002201220222220000
410202312202232111221
520104042322420241
6355245125053213
731364042624523
oct4426642562551
91085081828800
10312300201321
1111049a35a639
1250638857209
13235b0231a44
1411188986a13
1581cc47ceb6
hex48b68ae569

312300201321 has 40 divisors (see below), whose sum is σ = 478001698944. Its totient is φ = 203079337920.

The previous prime is 312300201307. The next prime is 312300201359. The reversal of 312300201321 is 123102003213.

312300201321 is a `hidden beast` number, since 312 + 30 + 0 + 2 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 312300201321 - 215 = 312300168553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312300201294 and 312300201303.

It is not an unprimeable number, because it can be changed into a prime (312300201361) 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 39 ways as a sum of consecutive naturals, for example, 26319636 + ... + 26331498.

Almost surely, 2312300201321 is an apocalyptic number.

It is an amenable number.

312300201321 is a deficient number, since it is larger than the sum of its proper divisors (165701497623).

312300201321 is a wasteful number, since it uses less digits than its factorization.

312300201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843 (or 19834 counting only the distinct ones).

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

Adding to 312300201321 its reverse (123102003213), we get a palindrome (435402204534).

The spelling of 312300201321 in words is "three hundred twelve billion, three hundred million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 7927 11863 23781 35589 71343 106767 214029 320301 325007 486383 642087 960903 975021 1459149 2925063 4377447 8775189 13132341 26325567 39397023 94038001 282114003 846342009 2539026027 3855558041 7617078081 11566674123 34700022369 104100067107 312300201321