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12300130310321 = 737283167812193
BaseRepresentation
bin1011001011111101100011…
…1001011101100010110001
31121112212210020012120200202
42302333120321131202301
53103011131324412241
642054334000124545
72406440460400340
oct262773071354261
947485706176622
1012300130310321
113a12501995187
121467a20906755
136b2b88515299
14307488161b57
15164e4bc6ed9b
hexb2fd8e5d8b1

12300130310321 has 16 divisors (see below), whose sum is σ = 14488233581184. Its totient is φ = 10221776239104.

The previous prime is 12300130310219. The next prime is 12300130310333. The reversal of 12300130310321 is 12301303100321.

It is a cyclic number.

It is not a de Polignac number, because 12300130310321 - 226 = 12300063201457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300130310293 and 12300130310302.

It is not an unprimeable number, because it can be changed into a prime (12300130310371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83832800 + ... + 83979393.

It is an arithmetic number, because the mean of its divisors is an integer number (905514598824).

Almost surely, 212300130310321 is an apocalyptic number.

It is an amenable number.

12300130310321 is a deficient number, since it is larger than the sum of its proper divisors (2188103270863).

12300130310321 is a wasteful number, since it uses less digits than its factorization.

12300130310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167812520.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12300130310321 its reverse (12301303100321), we get a palindrome (24601433410642).

The spelling of 12300130310321 in words is "twelve trillion, three hundred billion, one hundred thirty million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 37 259 283 1981 10471 73297 167812193 1174685351 6209051141 43463357987 47490850619 332435954333 1757161472903 12300130310321