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212424424212 = 2237111353333667
BaseRepresentation
bin1100010111010101111…
…0110111101100010100
3202022022020000211102010
43011311132313230110
511440021123033322
6241330400344220
721230034546060
oct3056536675424
9668266024363
10212424424212
11820a805aa90
1235204615070
1317054397390
14a3d2220aa0
1557d40d020c
hex31757b7b14

212424424212 has 192 divisors, whose sum is σ = 678056085504. Its totient is φ = 49969820160.

The previous prime is 212424424133. The next prime is 212424424237.

212424424212 is nontrivially palindromic in base 10.

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 212424424212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469803 + ... + 803469.

It is an arithmetic number, because the mean of its divisors is an integer number (3531542112).

Almost surely, 2212424424212 is an apocalyptic number.

212424424212 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 212424424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339028042752).

212424424212 is an abundant number, since it is smaller than the sum of its proper divisors (465631661292).

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

212424424212 is a wasteful number, since it uses less digits than its factorization.

212424424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333758 (or 333756 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 212424 and 424212, that added together give a palindrome (636636).

The spelling of 212424424212 in words is "two hundred twelve billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred twelve".