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213200013141 = 3339232012821
BaseRepresentation
bin1100011010001110110…
…1100000011101010101
3202101022021102211102000
43012203231200131111
511443113200410031
6241535344105513
721255203132223
oct3064355403525
9671267384360
10213200013141
1182465938475
12353a0305299
1317148c8113b
14a467233b13
15582c2343e6
hex31a3b60755

213200013141 has 16 divisors (see below), whose sum is σ = 315932541120. Its totient is φ = 142097040720.

The previous prime is 213200013133. The next prime is 213200013217. The reversal of 213200013141 is 141310002312.

213200013141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213200013141 - 23 = 213200013133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213200013241) 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, 900490 + ... + 1112331.

It is an arithmetic number, because the mean of its divisors is an integer number (19745783820).

Almost surely, 2213200013141 is an apocalyptic number.

It is an amenable number.

213200013141 is a deficient number, since it is larger than the sum of its proper divisors (102732527979).

213200013141 is a wasteful number, since it uses less digits than its factorization.

213200013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016753 (or 2016747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213200013141 its reverse (141310002312), we get a palindrome (354510015453).

The spelling of 213200013141 in words is "two hundred thirteen billion, two hundred million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 3923 11769 35307 105921 2012821 6038463 18115389 54346167 7896296783 23688890349 71066671047 213200013141