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212545545212 = 227211132599887
BaseRepresentation
bin1100010111110010110…
…0111010001111111100
3202022121122221102012002
43011330230322033330
511440243124421322
6241350404401432
721233035216400
oct3057454721774
9668548842162
10212545545212
118215a467a90
12352390a6278
13170734c4600
14a40434d100
1557dea57c92
hex317cb3a3fc

212545545212 has 216 divisors, whose sum is σ = 519834309120. Its totient is φ = 75136763520.

The previous prime is 212545545197. The next prime is 212545545301.

212545545212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2125455452122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21492533 + ... + 21502419.

It is an arithmetic number, because the mean of its divisors is an integer number (2406640320).

Almost surely, 2212545545212 is an apocalyptic number.

212545545212 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 212545545212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259917154560).

212545545212 is an abundant number, since it is smaller than the sum of its proper divisors (307288763908).

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

212545545212 is a wasteful number, since it uses less digits than its factorization.

212545545212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9979 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

It can be divided in two parts, 212545 and 545212, that added together give a palindrome (757757).

The spelling of 212545545212 in words is "two hundred twelve billion, five hundred forty-five million, five hundred forty-five thousand, two hundred twelve".