Search a number
-
+
213512142130 = 25767143331769
BaseRepresentation
bin1100011011011001010…
…0001011110100110010
3202102010000202121212221
43012312110023310302
511444233102022010
6242030334111254
721266013156250
oct3066624136462
9672100677787
10213512142130
1182606046611
123546894b52a
1317198837851
14a4968835d0
15584983bdda
hex31b650bd32

213512142130 has 64 divisors (see below), whose sum is σ = 446105698560. Its totient is φ = 72058973184.

The previous prime is 213512142113. The next prime is 213512142139. The reversal of 213512142130 is 31241215312.

213512142130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213512142095 and 213512142104.

It is not an unprimeable number, because it can be changed into a prime (213512142139) 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 31 ways as a sum of consecutive naturals, for example, 6704886 + ... + 6736654.

It is an arithmetic number, because the mean of its divisors is an integer number (6970401540).

Almost surely, 2213512142130 is an apocalyptic number.

213512142130 is an abundant number, since it is smaller than the sum of its proper divisors (232593556430).

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

213512142130 is a wasteful number, since it uses less digits than its factorization.

213512142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33283.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 213512142130 its reverse (31241215312), we get a palindrome (244753357442).

The spelling of 213512142130 in words is "two hundred thirteen billion, five hundred twelve million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 67 70 134 335 469 670 938 1433 2345 2866 4690 7165 10031 14330 20062 31769 50155 63538 96011 100310 158845 192022 222383 317690 444766 480055 672077 960110 1111915 1344154 2128523 2223830 3360385 4257046 6720770 10642615 14899661 21285230 29799322 45524977 74498305 91049954 148996610 227624885 318674839 455249770 637349678 1593374195 3050173459 3186748390 6100346918 15250867295 21351214213 30501734590 42702428426 106756071065 213512142130