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312242242212 = 22328673395617
BaseRepresentation
bin1001000101100110001…
…01101000001010100100
31002211221200212100221100
410202303011220022210
520103433003222322
6355235254520100
731362440160525
oct4426305501244
91084850770840
10312242242212
1111046a67304a
1250621366030
13235a121aa04
1411180dba84c
1581c732edac
hex48b31682a4

312242242212 has 18 divisors (see below), whose sum is σ = 789279001238. Its totient is φ = 104080747392.

The previous prime is 312242242211. The next prime is 312242242217. The reversal of 312242242212 is 212242242213.

312242242212 is a `hidden beast` number, since 3 + 1 + 22 + 422 + 4 + 2 + 212 = 666.

312242242212 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 272427626916 + 39814615296 = 521946^2 + 199536^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312242242211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4336697773 + ... + 4336697844.

Almost surely, 2312242242212 is an apocalyptic number.

It is an amenable number.

312242242212 is an abundant number, since it is smaller than the sum of its proper divisors (477036759026).

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

312242242212 is a wasteful number, since it uses less digits than its factorization.

312242242212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673395627 (or 8673395622 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 312242242212 its reverse (212242242213), we get a palindrome (524484484425).

Subtracting from 312242242212 its reverse (212242242213), we obtain a palindrome (99999999999).

The spelling of 312242242212 in words is "three hundred twelve billion, two hundred forty-two million, two hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8673395617 17346791234 26020186851 34693582468 52040373702 78060560553 104080747404 156121121106 312242242212