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1010030032000 = 27531119729131
BaseRepresentation
bin11101011001010100111…
…10110011010010000000
310120120001201200211202201
432230222132303102000
5113022020142011000
62052000144522544
7132654325421563
oct16545236632200
93516051624681
101010030032000
1135a395692440
12143901020454
137432626c712
1436c585864da
151b4170a796a
hexeb2a7b3480

1010030032000 has 256 divisors, whose sum is σ = 2753477400960. Its totient is φ = 365406720000.

The previous prime is 1010030031917. The next prime is 1010030032009. The reversal of 1010030032000 is 2300300101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010030032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34657435 + ... + 34686565.

Almost surely, 21010030032000 is an apocalyptic number.

1010030032000 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 1010030032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376738700480).

1010030032000 is an abundant number, since it is smaller than the sum of its proper divisors (1743447368960).

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

1010030032000 is a wasteful number, since it uses less digits than its factorization.

1010030032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29368 (or 29346 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1010030032000 its reverse (2300300101), we get a palindrome (1012330332101).

The spelling of 1010030032000 in words is "one trillion, ten billion, thirty million, thirty-two thousand".