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210332112320 = 26511241132491
BaseRepresentation
bin1100001111100011000…
…1010101010111000000
3202002220101222101002002
43003320301111113000
511421230010043240
6240343015043132
721124140312311
oct3037061252700
9662811871062
10210332112320
1181223aa3100
123491b9704a8
1316aaca6b9c5
14a2743b6608
155710585d15
hex30f8c555c0

210332112320 has 168 divisors, whose sum is σ = 563956437744. Its totient is φ = 74618368000.

The previous prime is 210332112299. The next prime is 210332112323. The reversal of 210332112320 is 23211233012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210332112292 and 210332112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210332112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521275 + ... + 1653765.

It is an arithmetic number, because the mean of its divisors is an integer number (3356883558).

Almost surely, 2210332112320 is an apocalyptic number.

210332112320 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 210332112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281978218872).

210332112320 is an abundant number, since it is smaller than the sum of its proper divisors (353624325424).

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

210332112320 is a wasteful number, since it uses less digits than its factorization.

210332112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132571 (or 132550 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 210332112320 its reverse (23211233012), we get a palindrome (233543345332).

The spelling of 210332112320 in words is "two hundred ten billion, three hundred thirty-two million, one hundred twelve thousand, three hundred twenty".