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1331320332000 = 253538310912263
BaseRepresentation
bin10011010111111000111…
…000000001111011100000
311201021101000002011121110
4103113320320001323200
5133303021001111000
62455333343023320
7165120234051561
oct23277070017340
94637330064543
101331320332000
1147367869019a
1219602859ab40
1398709b95a79
14486170c8168
152496d908850
hex135f8e01ee0

1331320332000 has 384 divisors, whose sum is σ = 4454810680320. Its totient is φ = 347495270400.

The previous prime is 1331320331993. The next prime is 1331320332071. The reversal of 1331320332000 is 2330231331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108557869 + ... + 108570131.

It is an arithmetic number, because the mean of its divisors is an integer number (11601069480).

Almost surely, 21331320332000 is an apocalyptic number.

1331320332000 is a gapful number since it is divisible by the number (10) 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 1331320332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227405340160).

1331320332000 is an abundant number, since it is smaller than the sum of its proper divisors (3123490348320).

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

1331320332000 is a wasteful number, since it uses less digits than its factorization.

1331320332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1331320332000 its reverse (2330231331), we get a palindrome (1333650563331).

The spelling of 1331320332000 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred thirty-two thousand".