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11312032211221 = 73291137230543
BaseRepresentation
bin1010010010011100100110…
…1010010110000100010101
31111001102022222022100220011
42210213021222112010111
52440314020221224341
640020401552440221
72245160463211000
oct244471152260425
944042288270804
1011312032211221
113671451308625
121328420849071
13640948c84a71
142b17106bc537
151493ba34cb81
hexa49c9a96115

11312032211221 has 16 divisors (see below), whose sum is σ = 13646766528000. Its totient is φ = 9361681821744.

The previous prime is 11312032211213. The next prime is 11312032211261. The reversal of 11312032211221 is 12211223021311.

It is a happy number.

It is not a de Polignac number, because 11312032211221 - 23 = 11312032211213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11312032211192 and 11312032211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312032211261) 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 15 ways as a sum of consecutive naturals, for example, 568605325 + ... + 568625218.

It is an arithmetic number, because the mean of its divisors is an integer number (852922908000).

Almost surely, 211312032211221 is an apocalyptic number.

It is an amenable number.

11312032211221 is a deficient number, since it is larger than the sum of its proper divisors (2334734316779).

11312032211221 is an equidigital number, since it uses as much as digits as its factorization.

11312032211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137230593 (or 1137230579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11312032211221 its reverse (12211223021311), we get a palindrome (23523255232532).

The spelling of 11312032211221 in words is "eleven trillion, three hundred twelve billion, thirty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 29 49 203 343 1421 9947 1137230543 7960613801 32979685747 55724296607 230857800229 390070076249 1616004601603 11312032211221