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213242111413 = 1573134619413
BaseRepresentation
bin1100011010011000111…
…0000110010110110101
3202101102012122122101021
43012212032012112311
511443204440031123
6241543450301141
721256224016552
oct3064616062665
9671365578337
10213242111413
1182487681531
12353b24277b1
1317154900a66
14a46ca71a29
155830c9cc5d
hex31a63865b5

213242111413 has 16 divisors (see below), whose sum is σ = 215775884016. Its totient is φ = 210726397440.

The previous prime is 213242111377. The next prime is 213242111417. The reversal of 213242111413 is 314111242312.

213242111413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6764569009 + 206477542404 = 82247^2 + 454398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213242111413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242111417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22649295 + ... + 22658707.

It is an arithmetic number, because the mean of its divisors is an integer number (13485992751).

Almost surely, 2213242111413 is an apocalyptic number.

It is an amenable number.

213242111413 is a deficient number, since it is larger than the sum of its proper divisors (2533772603).

213242111413 is a wasteful number, since it uses less digits than its factorization.

213242111413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344.

The product of its digits is 1152, while the sum is 25.

Adding to 213242111413 its reverse (314111242312), we get a palindrome (527353353725).

The spelling of 213242111413 in words is "two hundred thirteen billion, two hundred forty-two million, one hundred eleven thousand, four hundred thirteen".

Divisors: 1 157 313 461 9413 49141 72377 144293 1477841 2946269 4339393 22654001 462564233 681284701 1358230009 213242111413