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1220311321333 = 132312233337129
BaseRepresentation
bin10001110000100000001…
…110010000101011110101
311022122211121001010210221
4101300200032100223311
5124443144144240313
62332334150414341
7154110311041216
oct21604016205365
94278747033727
101220311321333
11430592a22475
121786079613b1
138b0c8625540
14430c5ccd40d
1521b22e4ec8d
hex11c20390af5

1220311321333 has 16 divisors (see below), whose sum is σ = 1372441432320. Its totient is φ = 1076584189824.

The previous prime is 1220311321267. The next prime is 1220311321357. The reversal of 1220311321333 is 3331231130221.

It is not a de Polignac number, because 1220311321333 - 29 = 1220311320821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220311321298 and 1220311321307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220311321363) 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, 1302888 + ... + 2034241.

It is an arithmetic number, because the mean of its divisors is an integer number (85777589520).

Almost surely, 21220311321333 is an apocalyptic number.

1220311321333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1220311321333 is a deficient number, since it is larger than the sum of its proper divisors (152130110987).

1220311321333 is a wasteful number, since it uses less digits than its factorization.

1220311321333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338388.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1220311321333 its reverse (3331231130221), we get a palindrome (4551542451554).

The spelling of 1220311321333 in words is "one trillion, two hundred twenty billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 13 23 299 1223 15899 28129 365677 3337129 43382677 76753967 997801571 4081308767 53057013971 93870101641 1220311321333