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1331033110000 = 24541141928879
BaseRepresentation
bin10011010111100111110…
…000010111010111110000
311201020121222121210002121
4103113213300113113300
5133301423434010000
62455245042524024
7165110145521626
oct23274760272760
94636558553077
101331033110000
11473540544040
12195b68366614
1398692520119
14485cacbd516
15249535c0b1a
hex135e7c175f0

1331033110000 has 200 divisors, whose sum is σ = 3524036947200. Its totient is φ = 482840160000.

The previous prime is 1331033109997. The next prime is 1331033110003. The reversal of 1331033110000 is 113301331.

It is an interprime number because it is at equal distance from previous prime (1331033109997) and next prime (1331033110003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331033110003) 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 39 ways as a sum of consecutive naturals, for example, 46075561 + ... + 46104439.

It is an arithmetic number, because the mean of its divisors is an integer number (17620184736).

Almost surely, 21331033110000 is an apocalyptic number.

1331033110000 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 1331033110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762018473600).

1331033110000 is an abundant number, since it is smaller than the sum of its proper divisors (2193003837200).

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

1331033110000 is a wasteful number, since it uses less digits than its factorization.

1331033110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29337 (or 29316 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1331033110000 its reverse (113301331), we get a palindrome (1331146411331).

The spelling of 1331033110000 in words is "one trillion, three hundred thirty-one billion, thirty-three million, one hundred ten thousand".