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120214234305 = 32511594116221
BaseRepresentation
bin110111111110101010…
…0111010010011000001
3102111021221021211201100
41233331110322103001
53432144320444210
6131120424125013
711454010063134
oct1577524722301
9374257254640
10120214234305
1146a8988a570
121b36b606769
13b44a6b6629
145b6599221b
1531d8bc25c0
hex1bfd53a4c1

120214234305 has 48 divisors (see below), whose sum is σ = 231167027520. Its totient is φ = 57297782400.

The previous prime is 120214234223. The next prime is 120214234313. The reversal of 120214234305 is 503432412021.

120214234305 is a `hidden beast` number, since 1 + 202 + 1 + 4 + 23 + 430 + 5 = 666.

It is not a de Polignac number, because 120214234305 - 29 = 120214233793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2028906 + ... + 2087315.

It is an arithmetic number, because the mean of its divisors is an integer number (4815979740).

Almost surely, 2120214234305 is an apocalyptic number.

120214234305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120214234305 is a deficient number, since it is larger than the sum of its proper divisors (110952793215).

120214234305 is a wasteful number, since it uses less digits than its factorization.

120214234305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116302 (or 4116299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 120214234305 its reverse (503432412021), we get a palindrome (623646646326).

The spelling of 120214234305 in words is "one hundred twenty billion, two hundred fourteen million, two hundred thirty-four thousand, three hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 59 99 165 177 295 495 531 649 885 1947 2655 3245 5841 9735 29205 4116221 12348663 20581105 37045989 45278431 61743315 135835293 185229945 226392155 242857039 407505879 679176465 728571117 1214285195 2037529395 2185713351 2671427429 3642855585 8014282287 10928566755 13357137145 24042846861 40071411435 120214234305