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213420360141 = 352813125527
BaseRepresentation
bin1100011011000011011…
…0000100000111001101
3202101212122001121200000
43012300312010013031
511444041103011031
6242013254554513
721263520062262
oct3066066040715
9671778047600
10213420360141
118256925842a
1235442068a39
1317182810791
14a4885d1269
15584175c3e6
hex31b0d841cd

213420360141 has 24 divisors (see below), whose sum is σ = 320829198144. Its totient is φ = 141773859360.

The previous prime is 213420360137. The next prime is 213420360187. The reversal of 213420360141 is 141063024312.

It is a happy number.

213420360141 is a `hidden beast` number, since 2 + 1 + 34 + 20 + 3 + 601 + 4 + 1 = 666.

It is not a de Polignac number, because 213420360141 - 22 = 213420360137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213420360641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494481 + ... + 1631046.

It is an arithmetic number, because the mean of its divisors is an integer number (13367883256).

Almost surely, 2213420360141 is an apocalyptic number.

It is an amenable number.

213420360141 is a deficient number, since it is larger than the sum of its proper divisors (107408838003).

213420360141 is an equidigital number, since it uses as much as digits as its factorization.

213420360141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125823 (or 3125811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213420360141 its reverse (141063024312), we get a palindrome (354483384453).

The spelling of 213420360141 in words is "two hundred thirteen billion, four hundred twenty million, three hundred sixty thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 243 281 843 2529 7587 22761 68283 3125527 9376581 28129743 84389229 253167687 759503061 878273087 2634819261 7904457783 23713373349 71140120047 213420360141