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12301322313 = 375312498849
BaseRepresentation
bin10110111010011011…
…10100100001001001
31011202022002220212010
423131031310201021
5200143114303223
65352352010133
7613560341310
oct133515644111
934668086763
1012301322313
115242859585
122473830949
131210706457
14849a57277
154bee41393
hex2dd374849

12301322313 has 32 divisors (see below), whose sum is σ = 19116000000. Its totient is φ = 6890397696.

The previous prime is 12301322311. The next prime is 12301322333. The reversal of 12301322313 is 31322310321.

12301322313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12301322313 - 21 = 12301322311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12301322313.

It is not an unprimeable number, because it can be changed into a prime (12301322311) 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 31 ways as a sum of consecutive naturals, for example, 1385713 + ... + 1394561.

It is an arithmetic number, because the mean of its divisors is an integer number (597375000).

Almost surely, 212301322313 is an apocalyptic number.

It is an amenable number.

12301322313 is a deficient number, since it is larger than the sum of its proper divisors (6814677687).

12301322313 is a wasteful number, since it uses less digits than its factorization.

12301322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12301322313 its reverse (31322310321), we get a palindrome (43623632634).

The spelling of 12301322313 in words is "twelve billion, three hundred one million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 53 159 371 1113 1249 3747 8743 8849 26229 26547 61943 66197 185829 198591 463379 468997 1390137 1406991 3282979 9848937 11052401 33157203 77366807 232100421 585777253 1757331759 4100440771 12301322313