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212003443344 = 2437111072392243
BaseRepresentation
bin1100010101110001100…
…0111101001010010000
3202021012212212210020010
43011130120331022100
511433140340141334
6241220521314520
721213433351440
oct3053430751220
9667185783203
10212003443344
1181a01464910
1235107635a40
1316cb80bb084
14a392358120
1557ac1750e9
hex315c63d290

212003443344 has 320 divisors, whose sum is σ = 692389969920. Its totient is φ = 54298728960.

The previous prime is 212003443313. The next prime is 212003443369. The reversal of 212003443344 is 443344300212.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 94516687 + ... + 94518929.

It is an arithmetic number, because the mean of its divisors is an integer number (2163718656).

Almost surely, 2212003443344 is an apocalyptic number.

212003443344 is a gapful number since it is divisible by the number (24) 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 212003443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346194984960).

212003443344 is an abundant number, since it is smaller than the sum of its proper divisors (480386526576).

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

212003443344 is a wasteful number, since it uses less digits than its factorization.

212003443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 212003443344 its reverse (443344300212), we get a palindrome (655347743556).

The spelling of 212003443344 in words is "two hundred twelve billion, three million, four hundred forty-three thousand, three hundred forty-four".