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213243342312 = 23371121337113193
BaseRepresentation
bin1100011010011001001…
…0110010110111101000
3202101102021222011212010
43012212102302313220
511443210243423222
6241543532515520
721256240334310
oct3064622626750
9671367864763
10213243342312
1182488342300
12353b291bba0
1317154c420c0
14a46ccb2440
155830e4280c
hex31a64b2de8

213243342312 has 768 divisors, whose sum is σ = 751123054080. Its totient is φ = 49049763840.

The previous prime is 213243342307. The next prime is 213243342337.

It is a happy number.

213243342312 is nontrivially palindromic in base 10.

213243342312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213243342312.

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 191 ways as a sum of consecutive naturals, for example, 1104887688 + ... + 1104887880.

It is an arithmetic number, because the mean of its divisors is an integer number (978024810).

Almost surely, 2213243342312 is an apocalyptic number.

213243342312 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 213243342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375561527040).

213243342312 is an abundant number, since it is smaller than the sum of its proper divisors (537879711768).

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

213243342312 is a wasteful number, since it uses less digits than its factorization.

213243342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 213243 and 342312, that added together give a palindrome (555555).

The spelling of 213243342312 in words is "two hundred thirteen billion, two hundred forty-three million, three hundred forty-two thousand, three hundred twelve".