Search a number
-
+
212134015230345 = 32513461786599237
BaseRepresentation
bin110000001110111101001100…
…100111110110000110001001
31000211002210222021000020112200
4300032331030213312012021
5210301100430344332340
62031101004331030413
762453114440103355
oct6016751447660611
91024083867006480
10212134015230345
116165759230326a
121b960bb059b409
13914a1c8678120
143a554ac068465
15197d15c5a6330
hexc0ef4c9f6189

212134015230345 has 48 divisors (see below), whose sum is σ = 396842461967952. Its totient is φ = 104208666785280.

The previous prime is 212134015230341. The next prime is 212134015230349. The reversal of 212134015230345 is 543032510431212.

212134015230345 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 340 + 1 + 5 + 2 + 303 + 4 + 5 = 666.

212134015230345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212134015230341) and next prime (212134015230349).

It can be written as a sum of positive squares in 8 ways, for example, as 65376587765241 + 146757427465104 = 8085579^2 + 12114348^2 .

It is not a de Polignac number, because 212134015230345 - 22 = 212134015230341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212134015230341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393029934 + ... + 393569303.

It is an arithmetic number, because the mean of its divisors is an integer number (8267551290999).

Almost surely, 2212134015230345 is an apocalyptic number.

It is an amenable number.

212134015230345 is a deficient number, since it is larger than the sum of its proper divisors (184708446737607).

212134015230345 is a wasteful number, since it uses less digits than its factorization.

212134015230345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786599722 (or 786599719 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 212134015230345 its reverse (543032510431212), we get a palindrome (755166525661557).

The spelling of 212134015230345 in words is "two hundred twelve trillion, one hundred thirty-four billion, fifteen million, two hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 461 585 1383 2305 4149 5993 6915 17979 20745 29965 53937 89895 269685 786599237 2359797711 3932996185 7079393133 10225790081 11798988555 30677370243 35396965665 51128950405 92032110729 153386851215 362622248257 460160553645 1087866744771 1813111241285 3263600234313 4714089227341 5439333723855 14142267682023 16318001171565 23570446136705 42426803046069 70711338410115 212134015230345