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212331320320 = 2105712746649
BaseRepresentation
bin1100010110111111101…
…1101101010000000000
3202022001201211122212211
43011233323231100000
511434323304222240
6241313233031504
721224524305130
oct3055773552000
9668051748784
10212331320320
118205a549719
12351993b5594
131703acc9712
14a3c3b06ac0
1557cad3dbea
hex316feed400

212331320320 has 176 divisors, whose sum is σ = 586706227200. Its totient is φ = 72224538624.

The previous prime is 212331320303. The next prime is 212331320347. The reversal of 212331320320 is 23023133212.

212331320320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212331320291 and 212331320300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4528356 + ... + 4575004.

Almost surely, 2212331320320 is an apocalyptic number.

212331320320 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 212331320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293353113600).

212331320320 is an abundant number, since it is smaller than the sum of its proper divisors (374374906880).

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

212331320320 is a wasteful number, since it uses less digits than its factorization.

212331320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46808 (or 46790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 212331320320 its reverse (23023133212), we get a palindrome (235354453532).

The spelling of 212331320320 in words is "two hundred twelve billion, three hundred thirty-one million, three hundred twenty thousand, three hundred twenty".