Search a number
-
+
212431042140 = 223517472026627
BaseRepresentation
bin1100010111010111100…
…0000111011001011100
3202022022200111001111120
43011311320013121130
511440024321322030
6241331154250540
721230145031242
oct3056570073134
9668280431446
10212431042140
1182100870149
1235206886a50
1317055873705
14a3d3064792
1557d498b010
hex3175e0765c

212431042140 has 48 divisors (see below), whose sum is σ = 595147684992. Its totient is φ = 56615823936.

The previous prime is 212431042133. The next prime is 212431042147. The reversal of 212431042140 is 41240134212.

212431042140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212431042133) and next prime (212431042147).

It is a self number, because there is not a number n which added to its sum of digits gives 212431042140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431042147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908494 + ... + 1118133.

It is an arithmetic number, because the mean of its divisors is an integer number (12398910104).

Almost surely, 2212431042140 is an apocalyptic number.

212431042140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431042140 is an abundant number, since it is smaller than the sum of its proper divisors (382716642852).

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

212431042140 is a wasteful number, since it uses less digits than its factorization.

212431042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028386 (or 2028384 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212431042140 its reverse (41240134212), we get a palindrome (253671176352).

The spelling of 212431042140 in words is "two hundred twelve billion, four hundred thirty-one million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1747 3494 5241 6988 8735 10482 17470 20964 26205 34940 52410 104820 2026627 4053254 6079881 8106508 10133135 12159762 20266270 24319524 30399405 40532540 60798810 121597620 3540517369 7081034738 10621552107 14162069476 17702586845 21243104214 35405173690 42486208428 53107760535 70810347380 106215521070 212431042140