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1321330011221 = 11592298890601
BaseRepresentation
bin10011001110100101011…
…001111110110001010101
311200022120202112021212202
4103032211121332301111
5133122040440324341
62451002143454245
7164314534532123
oct23164531766125
94608522467782
101321330011221
1146a411387340
121940ba8b7385
13977a71b715c
1447d4a364913
152458680d79b
hex133a567ec55

1321330011221 has 16 divisors (see below), whose sum is σ = 1472283691200. Its totient is φ = 1175692944000.

The previous prime is 1321330011203. The next prime is 1321330011241. The reversal of 1321330011221 is 1221100331231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1321330011221 - 214 = 1321329994837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1321330011193 and 1321330011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321330011241) 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, 4296680 + ... + 4593921.

It is an arithmetic number, because the mean of its divisors is an integer number (92017730700).

Almost surely, 21321330011221 is an apocalyptic number.

1321330011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321330011221 is a deficient number, since it is larger than the sum of its proper divisors (150953679979).

1321330011221 is a wasteful number, since it uses less digits than its factorization.

1321330011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890900.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1321330011221 its reverse (1221100331231), we get a palindrome (2542430342452).

The spelling of 1321330011221 in words is "one trillion, three hundred twenty-one billion, three hundred thirty million, eleven thousand, two hundred twenty-one".

Divisors: 1 11 59 229 649 2519 13511 148621 8890601 97796611 524545459 2035947629 5770000049 22395423919 120120910111 1321330011221