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1330132003200 = 27325271113293743
BaseRepresentation
bin10011010110110010000…
…010111010100110000000
311201011022012000210221200
4103112302002322212000
5133243102243100300
62455015413021200
7165045624323250
oct23266202724600
94634265023850
101330132003200
11473118926180
12195956624800
139857a929a30
1448543355960
15248ee426200
hex135b20ba980

1330132003200 has 4608 divisors, whose sum is σ = 6927906585600. Its totient is φ = 234101145600.

The previous prime is 1330132003177. The next prime is 1330132003201. The reversal of 1330132003200 is 23002310331.

1330132003200 is a `hidden beast` number, since 1 + 330 + 13 + 2 + 0 + 0 + 320 + 0 = 666.

It is a super-2 number, since 2×13301320032002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330132003201) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 30933302379 + ... + 30933302421.

It is an arithmetic number, because the mean of its divisors is an integer number (1503451950).

Almost surely, 21330132003200 is an apocalyptic number.

1330132003200 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 1330132003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463953292800).

1330132003200 is an abundant number, since it is smaller than the sum of its proper divisors (5597774582400).

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

1330132003200 is a wasteful number, since it uses less digits than its factorization.

1330132003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330132003200 its reverse (23002310331), we get a palindrome (1353134313531).

The spelling of 1330132003200 in words is "one trillion, three hundred thirty billion, one hundred thirty-two million, three thousand, two hundred".