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210032320000 = 29542328537
BaseRepresentation
bin1100001110011011100…
…1101101111000000000
3202002010111212100022211
43003212321231320000
511420121233220000
6240253145311504
721113540156236
oct3034671557000
9662114770284
10210032320000
118108a850758
1234857495594
1316a629145b9
14a246658956
1556e40b87ba
hex30e6e6de00

210032320000 has 200 divisors, whose sum is σ = 547219346256. Its totient is φ = 80357376000.

The previous prime is 210032319907. The next prime is 210032320009. The reversal of 210032320000 is 23230012.

It is a happy number.

210032320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2100323200002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210032320009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7345732 + ... + 7374268.

Almost surely, 2210032320000 is an apocalyptic number.

210032320000 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 210032320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273609673128).

210032320000 is an abundant number, since it is smaller than the sum of its proper divisors (337187026256).

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

210032320000 is an frugal number, since it uses more digits than its factorization.

210032320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28598 (or 28567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 210032320000 its reverse (23230012), we get a palindrome (210055550012).

The spelling of 210032320000 in words is "two hundred ten billion, thirty-two million, three hundred twenty thousand".