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213312111012 = 2234721113175527
BaseRepresentation
bin1100011010101001100…
…1001000000110100100
3202101121002100222210000
43012222121020012210
511443330400023022
6241554430501300
721261034012200
oct3065231100644
9671532328700
10213312111012
1182513142240
1235411964830
131716626c340
14a478093b00
155836ec86ac
hex31aa6481a4

213312111012 has 720 divisors, whose sum is σ = 807064207488. Its totient is φ = 48126597120.

The previous prime is 213312110987. The next prime is 213312111013. The reversal of 213312111012 is 210111213312.

213312111012 is a `hidden beast` number, since 21 + 331 + 211 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213312111013) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38591793 + ... + 38597319.

Almost surely, 2213312111012 is an apocalyptic number.

213312111012 is a gapful number since it is divisible by the number (22) 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 213312111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403532103744).

213312111012 is an abundant number, since it is smaller than the sum of its proper divisors (593752096476).

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

213312111012 is a wasteful number, since it uses less digits than its factorization.

213312111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213312111012 its reverse (210111213312), we get a palindrome (423423324324).

The spelling of 213312111012 in words is "two hundred thirteen billion, three hundred twelve million, one hundred eleven thousand, twelve".