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12303300231321 = 3112711007947363
BaseRepresentation
bin1011001100001001010111…
…0101110000000010011001
31121120011222010222020211020
42303002111311300002121
53103034124324400241
642100020314353053
72406612151312461
oct263022565600231
947504863866736
1012303300231321
113a13889263800
12146856642b789
136b3272181b98
143076a915aba1
151650851cab66
hexb3095d70099

12303300231321 has 48 divisors (see below), whose sum is σ = 18287445012480. Its totient is φ = 7350639234400.

The previous prime is 12303300231319. The next prime is 12303300231337. The reversal of 12303300231321 is 12313200330321.

It is not a de Polignac number, because 12303300231321 - 21 = 12303300231319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303300231291 and 12303300231300.

It is not an unprimeable number, because it can be changed into a prime (12303300231361) 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 47 ways as a sum of consecutive naturals, for example, 259742386 + ... + 259789748.

It is an arithmetic number, because the mean of its divisors is an integer number (380988437760).

Almost surely, 212303300231321 is an apocalyptic number.

12303300231321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12303300231321 is a deficient number, since it is larger than the sum of its proper divisors (5984144781159).

12303300231321 is a wasteful number, since it uses less digits than its factorization.

12303300231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57538 (or 57527 counting only the distinct ones).

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

Adding to 12303300231321 its reverse (12313200330321), we get a palindrome (24616500561642).

The spelling of 12303300231321 in words is "twelve trillion, three hundred three billion, three hundred million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 71 121 213 363 781 2343 8591 10079 25773 30237 47363 110869 142089 332607 520993 715609 1219559 1562979 2146827 3362773 3658677 5730923 7871699 10088319 17192769 23615097 36990503 86588689 110971509 259766067 406895533 477371677 1220686599 1432115031 5251088447 15753265341 33893389067 57761972917 101680167201 173285918751 372827279737 1118481839211 4101100077107 12303300231321