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1332221332321 = 111011319153581
BaseRepresentation
bin10011011000101110100…
…101000100101101100001
311201100200210110201200201
4103120232211010231201
5133311342130113241
62500003010345201
7165151454324635
oct23305645045541
94640623421621
101332221332321
11473aa0236060
1219623a28b201
139882174c859
14486a0a24dc5
15249c2a81931
hex1362e944b61

1332221332321 has 16 divisors (see below), whose sum is σ = 1478925936576. Its totient is φ = 1189965400000.

The previous prime is 1332221332319. The next prime is 1332221332367. The reversal of 1332221332321 is 1232331222331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1332221332321 - 21 = 1332221332319 is a prime.

It is a super-3 number, since 3×13322213323213 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1332221332321.

It is not an unprimeable number, because it can be changed into a prime (1332221332381) 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, 4431250 + ... + 4722331.

It is an arithmetic number, because the mean of its divisors is an integer number (92432871036).

Almost surely, 21332221332321 is an apocalyptic number.

1332221332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1332221332321 is a deficient number, since it is larger than the sum of its proper divisors (146704604255).

1332221332321 is a wasteful number, since it uses less digits than its factorization.

1332221332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153824.

The product of its digits is 7776, while the sum is 28.

Adding to 1332221332321 its reverse (1232331222331), we get a palindrome (2564552554652).

The spelling of 1332221332321 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 101 131 1111 1441 13231 145541 9153581 100689391 924511681 1199119111 10169628491 13190310221 121111030211 1332221332321