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2013213230000 = 24547231250443
BaseRepresentation
bin11101010010111100110…
…111000000001110110000
321010110110021212110222222
4131102330313000032300
5230441030041330000
64140505110220212
7265310205051350
oct35227467001660
97113407773888
102013213230000
11706887425085
12286211054668
13117acab7316b
146d623682b60
153757ceeda85
hex1d4bcdc03b0

2013213230000 has 200 divisors, whose sum is σ = 5812703939328. Its totient is φ = 660233376000.

The previous prime is 2013213229939. The next prime is 2013213230009. The reversal of 2013213230000 is 323123102.

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

It is not an unprimeable number, because it can be changed into a prime (2013213230009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984779 + ... + 2235221.

Almost surely, 22013213230000 is an apocalyptic number.

2013213230000 is a gapful number since it is divisible by the number (20) 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 2013213230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906351969664).

2013213230000 is an abundant number, since it is smaller than the sum of its proper divisors (3799490709328).

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

2013213230000 is a wasteful number, since it uses less digits than its factorization.

2013213230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250501 (or 1250480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2013213230000 its reverse (323123102), we get a palindrome (2013536353102).

The spelling of 2013213230000 in words is "two trillion, thirteen billion, two hundred thirteen million, two hundred thirty thousand".