Search a number
-
+
212741641683 = 32593311210403
BaseRepresentation
bin1100011000100001100…
…0111101010111010011
3202100010022221010222100
43012020120331113103
511441143330013213
6241422051411443
721240636055254
oct3061030752723
9670108833870
10212741641683
118225012418a
12352928b3b83
13170a5012c1c
14a4223d6b2b
155801d90773
hex318863d5d3

212741641683 has 24 divisors (see below), whose sum is σ = 313446219840. Its totient is φ = 139002565680.

The previous prime is 212741641657. The next prime is 212741641703. The reversal of 212741641683 is 386146147212.

212741641683 is a `hidden beast` number, since 212 + 7 + 4 + 16 + 416 + 8 + 3 = 666.

212741641683 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 212741641683 - 213 = 212741633491 is a prime.

It is a super-2 number, since 2×2127416416832 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212741641613) 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 23 ways as a sum of consecutive naturals, for example, 429441 + ... + 780962.

It is an arithmetic number, because the mean of its divisors is an integer number (13060259160).

Almost surely, 2212741641683 is an apocalyptic number.

212741641683 is a deficient number, since it is larger than the sum of its proper divisors (100704578157).

212741641683 is a wasteful number, since it uses less digits than its factorization.

212741641683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210799 (or 1210796 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

Adding to 212741641683 its reverse (386146147212), we get a palindrome (598887788895).

The spelling of 212741641683 in words is "two hundred twelve billion, seven hundred forty-one million, six hundred forty-one thousand, six hundred eighty-three".

Divisors: 1 3 9 59 177 331 531 993 2979 19529 58587 175761 1210403 3631209 10893627 71413777 214241331 400643393 642723993 1201930179 3605790537 23637960187 70913880561 212741641683