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213661389000 = 23353174789137
BaseRepresentation
bin1100011011111100110…
…1100001000011001000
3202102111102121011002210
43012333031201003020
512000034303422000
6242053225025120
721302504561313
oct3067715410310
9672442534083
10213661389000
1182682313a34
12354aa9251a0
13171c07319c7
14a4ac61397a
1558579bd350
hex31bf3610c8

213661389000 has 256 divisors, whose sum is σ = 720862571520. Its totient is φ = 52483276800.

The previous prime is 213661388999. The next prime is 213661389013. The reversal of 213661389000 is 983166312.

It is a self number, because there is not a number n which added to its sum of digits gives 213661389000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2352432 + ... + 2441568.

It is an arithmetic number, because the mean of its divisors is an integer number (2815869420).

Almost surely, 2213661389000 is an apocalyptic number.

213661389000 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 213661389000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360431285760).

213661389000 is an abundant number, since it is smaller than the sum of its proper divisors (507201182520).

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

213661389000 is a wasteful number, since it uses less digits than its factorization.

213661389000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89225 (or 89211 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 213661389000 in words is "two hundred thirteen billion, six hundred sixty-one million, three hundred eighty-nine thousand".