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12311200211321 = 1119367160504807
BaseRepresentation
bin1011001100100110110010…
…1101110010000101111001
31121120221100201011211002002
42303021230231302011321
53103201314223230241
642103404242350345
72410312006115234
oct263115455620571
947527321154062
1012311200211321
113a171726266a0
121469bb005b3b5
136b3c30a7536b
14307c1842a41b
15165398a1a89b
hexb326cb72179

12311200211321 has 16 divisors (see below), whose sum is σ = 14175784642560. Its totient is φ = 10574056619280.

The previous prime is 12311200211309. The next prime is 12311200211357.

12311200211321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12311200211321 - 210 = 12311200210297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12311200211293 and 12311200211302.

It is not an unprimeable number, because it can be changed into a prime (12311200211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80175701 + ... + 80329106.

It is an arithmetic number, because the mean of its divisors is an integer number (885986540160).

Almost surely, 212311200211321 is an apocalyptic number.

12311200211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311200211321 is a deficient number, since it is larger than the sum of its proper divisors (1864584431239).

12311200211321 is a wasteful number, since it uses less digits than its factorization.

12311200211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160505204.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 12311200 and 211321, that added together give a palindrome (12522521).

The spelling of 12311200211321 in words is "twelve trillion, three hundred eleven billion, two hundred million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 19 209 367 4037 6973 76703 160504807 1765552877 3049591333 33545504663 58905264169 647957905859 1119200019211 12311200211321