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12301113101321 = 1117109935983931
BaseRepresentation
bin1011001100000001001101…
…1110100000110000001001
31121112222022201111112111102
42303000103132200300021
53103020134423220241
642055015304511145
72406504023105252
oct263002336406011
947488281445442
1012301113101321
113a12966724650
121468055a7b4b5
136b2cb4008515
1430753c8adb29
15164ea81a239b
hexb30137a0c09

12301113101321 has 16 divisors (see below), whose sum is σ = 14210067256128. Its totient is φ = 10524057369600.

The previous prime is 12301113101317. The next prime is 12301113101393. The reversal of 12301113101321 is 12310131110321.

It is a cyclic number.

It is not a de Polignac number, because 12301113101321 - 22 = 12301113101317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12301113101293 and 12301113101302.

It is not an unprimeable number, because it can be changed into a prime (12301113101521) 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 15 ways as a sum of consecutive naturals, for example, 936275 + ... + 5047656.

It is an arithmetic number, because the mean of its divisors is an integer number (888129203508).

Almost surely, 212301113101321 is an apocalyptic number.

12301113101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301113101321 is a deficient number, since it is larger than the sum of its proper divisors (1908954154807).

12301113101321 is a wasteful number, since it uses less digits than its factorization.

12301113101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994952.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12301113101321 its reverse (12310131110321), we get a palindrome (24611244211642).

The spelling of 12301113101321 in words is "twelve trillion, three hundred one billion, one hundred thirteen million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 11 17 187 10993 120923 186881 2055691 5983931 65823241 101726827 1118995097 65781353483 723594888313 1118283009211 12301113101321