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212234441100 = 22352111011514217
BaseRepresentation
bin1100010110101000101…
…0001001000110001100
3202021210222112200120120
43011222022021012030
511434124004103400
6241255452344540
721222236661333
oct3055212110614
9667728480516
10212234441100
118200a899950
1235170a75150
1317023c09536
14a3b4cc8d1a
1557c25a3ca0
hex316a28918c

212234441100 has 288 divisors, whose sum is σ = 681163402752. Its totient is φ = 50592000000.

The previous prime is 212234441057. The next prime is 212234441141. The reversal of 212234441100 is 1144432212.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50326192 + ... + 50330408.

It is an arithmetic number, because the mean of its divisors is an integer number (2365150704).

Almost surely, 2212234441100 is an apocalyptic number.

212234441100 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 212234441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340581701376).

212234441100 is an abundant number, since it is smaller than the sum of its proper divisors (468928961652).

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

212234441100 is a wasteful number, since it uses less digits than its factorization.

212234441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212234441100 its reverse (1144432212), we get a palindrome (213378873312).

The spelling of 212234441100 in words is "two hundred twelve billion, two hundred thirty-four million, four hundred forty-one thousand, one hundred".