Search a number
-
+
213423420042 = 23271799637451
BaseRepresentation
bin1100011011000100000…
…1101111001010001010
3202101212211211002001200
43012301001233022022
511444042343420132
6242013444325030
721263555065260
oct3066101571212
9671784732050
10213423420042
118256aa58378
12354430a3776
1317183342481
14a488b8a430
155841b63d7c
hex31b106f28a

213423420042 has 48 divisors (see below), whose sum is σ = 559563930432. Its totient is φ = 57391171200.

The previous prime is 213423419969. The next prime is 213423420047. The reversal of 213423420042 is 240024324312.

213423420042 is a `hidden beast` number, since 213 + 4 + 23 + 420 + 0 + 4 + 2 = 666.

213423420042 is digitally balanced in base 3, 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 = 213423419988 and 213423420015.

It is not an unprimeable number, because it can be changed into a prime (213423420047) 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, 49816584 + ... + 49820867.

It is an arithmetic number, because the mean of its divisors is an integer number (11657581884).

Almost surely, 2213423420042 is an apocalyptic number.

213423420042 is an abundant number, since it is smaller than the sum of its proper divisors (346140510390).

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

213423420042 is a wasteful number, since it uses less digits than its factorization.

213423420042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99637483 (or 99637480 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 213423420042 its reverse (240024324312), we get a palindrome (453447744354).

The spelling of 213423420042 in words is "two hundred thirteen billion, four hundred twenty-three million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 99637451 199274902 298912353 597824706 697462157 896737059 1394924314 1693836667 1793474118 2092386471 3387673334 4184772942 5081510001 6277159413 10163020002 11856856669 12554318826 15244530003 23713713338 30489060006 35570570007 71141140014 106711710021 213423420042