Search a number
-
+
212412241112310 = 2325192319128276277
BaseRepresentation
bin110000010011000000010100…
…001011010110110011110110
31000212002102010022002110121200
4300103000110023112303312
5210320130232211043220
62031432500401153330
762512164231062241
oct6023002413266366
91025072108073550
10212412241112310
1161754586594398
121b9a6ab992b846
13916a5083a1805
143a64b43428258
1519854e33a4890
hexc130142d6cf6

212412241112310 has 192 divisors, whose sum is σ = 609790376632320. Its totient is φ = 51060168149760.

The previous prime is 212412241112299. The next prime is 212412241112321. The reversal of 212412241112310 is 13211142214212.

212412241112310 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 12 + 2 + 411 + 1 + 231 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212412241112299) and next prime (212412241112321).

It is a super-2 number, since 2×2124122411123102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6626109 + ... + 21650168.

It is an arithmetic number, because the mean of its divisors is an integer number (3175991544960).

Almost surely, 2212412241112310 is an apocalyptic number.

212412241112310 is an abundant number, since it is smaller than the sum of its proper divisors (397378135520010).

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

212412241112310 is a wasteful number, since it uses less digits than its factorization.

212412241112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28276523 (or 28276520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 212412241112310 its reverse (13211142214212), we get a palindrome (225623383326522).

The spelling of 212412241112310 in words is "two hundred twelve trillion, four hundred twelve billion, two hundred forty-one million, one hundred twelve thousand, three hundred ten".