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21234422443212 = 223211237472803193
BaseRepresentation
bin1001101010000000001100…
…01101001110110011001100
32210011222202102001220121100
410311000012031032303030
510240401044121140322
6113054543051103100
74321064532455136
oct465000615166314
983158672056540
1021234422443212
116847516986200
12246b459141a90
13bb0522254024
14535a742ac056
1526c551a68dac
hex13500634eccc

21234422443212 has 216 divisors, whose sum is σ = 61882951935168. Its totient is φ = 6127553456640.

The previous prime is 21234422443189. The next prime is 21234422443307.

21234422443212 is a `hidden beast` number, since 2 + 12 + 3 + 4 + 422 + 4 + 4 + 3 + 212 = 666.

21234422443212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 71 ways as a sum of consecutive naturals, for example, 6173488 + ... + 8976680.

It is an arithmetic number, because the mean of its divisors is an integer number (286495147848).

Almost surely, 221234422443212 is an apocalyptic number.

21234422443212 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 21234422443212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30941475967584).

21234422443212 is an abundant number, since it is smaller than the sum of its proper divisors (40648529491956).

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

21234422443212 is a wasteful number, since it uses less digits than its factorization.

21234422443212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803309 (or 2803293 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2123442 and 2443212, that added together give a palindrome (4566654).

The spelling of 21234422443212 in words is "twenty-one trillion, two hundred thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, two hundred twelve".