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12311334322340 = 2251899133241309
BaseRepresentation
bin1011001100100111010010…
…1101011000000010100100
31121120221201001112100210212
42303021310231120002210
53103202103041303330
642103425433034552
72410315225050404
oct263116455300244
947527631470725
1012311334322340
113a172312a6249
12146a028b55a58
136b3c527a00b1
14307c2c17a804
151653a56ac295
hexb3274b580a4

12311334322340 has 24 divisors (see below), whose sum is σ = 25853946188280. Its totient is φ = 4924506279168.

The previous prime is 12311334322277. The next prime is 12311334322349. The reversal of 12311334322340 is 4322343311321.

It can be written as a sum of positive squares in 4 ways, for example, as 2810243198884 + 9501091123456 = 1676378^2 + 3082384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12311334322297 and 12311334322306.

It is not an unprimeable number, because it can be changed into a prime (12311334322349) 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 7 ways as a sum of consecutive naturals, for example, 2177606 + ... + 5418914.

It is an arithmetic number, because the mean of its divisors is an integer number (1077247757845).

Almost surely, 212311334322340 is an apocalyptic number.

12311334322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311334322340 is an abundant number, since it is smaller than the sum of its proper divisors (13542611865940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12311334322340 is a wasteful number, since it uses less digits than its factorization.

12311334322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431231 (or 3431229 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 12311334322340 its reverse (4322343311321), we get a palindrome (16633677633661).

The spelling of 12311334322340 in words is "twelve trillion, three hundred eleven billion, three hundred thirty-four million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 189913 379826 759652 949565 1899130 3241309 3798260 6482618 12965236 16206545 32413090 64826180 615566716117 1231133432234 2462266864468 3077833580585 6155667161170 12311334322340