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1320014133000 = 2332531138591511
BaseRepresentation
bin10011001101010110111…
…110010011011100001000
311200012012001110202022100
4103031112332103130020
5133111342104224000
62450223415553400
7164240116000353
oct23152676233410
94605161422270
101320014133000
114698a6624582
121939b208b860
13976276acba4
1447c636ad29a
152450b033a00
hex13356f93708

1320014133000 has 384 divisors, whose sum is σ = 4509353721600. Its totient is φ = 348251904000.

The previous prime is 1320014132993. The next prime is 1320014133001. The reversal of 1320014133000 is 3314100231.

1320014133000 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 41 + 3 + 300 + 0 = 666.

It is a super-2 number, since 2×13200141330002 (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 not an unprimeable number, because it can be changed into a prime (1320014133001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873602245 + ... + 873603755.

It is an arithmetic number, because the mean of its divisors is an integer number (11743108650).

Almost surely, 21320014133000 is an apocalyptic number.

1320014133000 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 1320014133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254676860800).

1320014133000 is an abundant number, since it is smaller than the sum of its proper divisors (3189339588600).

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

1320014133000 is a wasteful number, since it uses less digits than its factorization.

1320014133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1320014133000 its reverse (3314100231), we get a palindrome (1323328233231).

The spelling of 1320014133000 in words is "one trillion, three hundred twenty billion, fourteen million, one hundred thirty-three thousand".