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1323201333132 = 22327193158715187
BaseRepresentation
bin10011010000010100111…
…100100000011110001100
311200111102011202021221200
4103100110330200132030
5133134404020130012
62451511552425500
7164412106520130
oct23202474403614
94614364667850
101323201333132
11470191725178
12194541548290
1397a14ab9623
1448086ac53c0
1524645c543dc
hex13414f2078c

1323201333132 has 288 divisors, whose sum is σ = 4160919060480. Its totient is φ = 345992964480.

The previous prime is 1323201333109. The next prime is 1323201333187. The reversal of 1323201333132 is 2313331023231.

1323201333132 is a `hidden beast` number, since 1 + 3 + 2 + 320 + 1 + 3 + 331 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1323201333096 and 1323201333105.

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 95 ways as a sum of consecutive naturals, for example, 87119643 + ... + 87134829.

Almost surely, 21323201333132 is an apocalyptic number.

1323201333132 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 1323201333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080459530240).

1323201333132 is an abundant number, since it is smaller than the sum of its proper divisors (2837717727348).

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

1323201333132 is a wasteful number, since it uses less digits than its factorization.

1323201333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15841 (or 15836 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1323201333132 its reverse (2313331023231), we get a palindrome (3636532356363).

The spelling of 1323201333132 in words is "one trillion, three hundred twenty-three billion, two hundred one million, three hundred thirty-three thousand, one hundred thirty-two".