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212440311312 = 2434425839819
BaseRepresentation
bin1100010111011001101…
…1011110011000010000
3202022100022220222102020
43011312123132120100
511440034204430222
6241332125051440
721230316565125
oct3056633363020
9668308828366
10212440311312
1182106021219
12352099b6b80
131705776a728
14a3d439874c
1557d56bc65c
hex31766de610

212440311312 has 20 divisors (see below), whose sum is σ = 548804137680. Its totient is φ = 70813437088.

The previous prime is 212440311311. The next prime is 212440311353. The reversal of 212440311312 is 213113044212.

212440311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124403113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212440311311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2212919862 + ... + 2212919957.

It is an arithmetic number, because the mean of its divisors is an integer number (27440206884).

Almost surely, 2212440311312 is an apocalyptic number.

It is an amenable number.

212440311312 is an abundant number, since it is smaller than the sum of its proper divisors (336363826368).

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

212440311312 is a wasteful number, since it uses less digits than its factorization.

212440311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425839830 (or 4425839824 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212440311312 its reverse (213113044212), we get a palindrome (425553355524).

The spelling of 212440311312 in words is "two hundred twelve billion, four hundred forty million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 4425839819 8851679638 13277519457 17703359276 26555038914 35406718552 53110077828 70813437104 106220155656 212440311312