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212112332320 = 2557416776823
BaseRepresentation
bin1100010110001011100…
…0010101011000100000
3202021111110202220211011
43011202320111120200
511433401224113240
6241235411230304
721216225035140
oct3054270253040
9667443686734
10212112332320
1181a579777a9
1235137ba8394
1317004824815
14a3a29c0920
1557b69d36ea
hex3162e15620

212112332320 has 192 divisors, whose sum is σ = 587624357376. Its totient is φ = 70835281920.

The previous prime is 212112332293. The next prime is 212112332321. The reversal of 212112332320 is 23233211212.

It is a super-4 number, since 4×2121123323204 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212112332291 and 212112332300.

It is not an unprimeable number, because it can be changed into a prime (212112332321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31084429 + ... + 31091251.

It is an arithmetic number, because the mean of its divisors is an integer number (3060543528).

Almost surely, 2212112332320 is an apocalyptic number.

212112332320 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 212112332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293812178688).

212112332320 is an abundant number, since it is smaller than the sum of its proper divisors (375512025056).

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

212112332320 is a wasteful number, since it uses less digits than its factorization.

212112332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212112332320 its reverse (23233211212), we get a palindrome (235345543532).

The spelling of 212112332320 in words is "two hundred twelve billion, one hundred twelve million, three hundred thirty-two thousand, three hundred twenty".