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1323330013332 = 22363771172751
BaseRepresentation
bin10011010000011100100…
…111011000100010010100
311200111202010212221000000
4103100130213120202110
5133140134440411312
62451532430451300
7164415231343065
oct23203447304224
94614663787000
101323330013332
11470248325548
12194578663b30
1397a35662462
1448099c2056c
15246521c1adc
hex1341c9d8894

1323330013332 has 168 divisors, whose sum is σ = 3616241110272. Its totient is φ = 423140760000.

The previous prime is 1323330013307. The next prime is 1323330013361. The reversal of 1323330013332 is 2333100333231.

1323330013332 is a `hidden beast` number, since 1 + 3 + 23 + 3 + 300 + 1 + 3 + 332 = 666.

It is a super-3 number, since 3×13233300133323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323330013296 and 1323330013305.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 7573957 + ... + 7746707.

It is an arithmetic number, because the mean of its divisors is an integer number (21525244704).

Almost surely, 21323330013332 is an apocalyptic number.

1323330013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323330013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808120555136).

1323330013332 is an abundant number, since it is smaller than the sum of its proper divisors (2292911096940).

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

1323330013332 is a wasteful number, since it uses less digits than its factorization.

1323330013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172881 (or 172864 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1323330013332 its reverse (2333100333231), we get a palindrome (3656430346563).

The spelling of 1323330013332 in words is "one trillion, three hundred twenty-three billion, three hundred thirty million, thirteen thousand, three hundred thirty-two".