Search a number
-
+
2012152042125 = 32533799148779
BaseRepresentation
bin11101010001111101100…
…110111001001010001101
321010100201100001112220100
4131101331212321022031
5230431341410322000
64140211521241313
7265242001105221
oct35217546711215
97110640045810
102012152042125
11706392409a05
12285b75793239
1311798c061444
146d562768781
1537519c82a00
hex1d47d9b928d

2012152042125 has 96 divisors (see below), whose sum is σ = 3729108464640. Its totient is φ = 1043068752000.

The previous prime is 2012152042081. The next prime is 2012152042139. The reversal of 2012152042125 is 5212402512102.

2012152042125 is a `hidden beast` number, since 2 + 0 + 1 + 215 + 2 + 0 + 421 + 25 = 666.

It is not a de Polignac number, because 2012152042125 - 210 = 2012152041101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41225986 + ... + 41274764.

It is an arithmetic number, because the mean of its divisors is an integer number (38844879840).

Almost surely, 22012152042125 is an apocalyptic number.

2012152042125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2012152042125 is a deficient number, since it is larger than the sum of its proper divisors (1716956422515).

2012152042125 is a wasteful number, since it uses less digits than its factorization.

2012152042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828 (or 49815 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2012152042125 its reverse (5212402512102), we get a palindrome (7224554554227).

The spelling of 2012152042125 in words is "two trillion, twelve billion, one hundred fifty-two million, forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 555 925 991 1125 1665 2775 2973 4625 4955 8325 8919 13875 14865 24775 36667 41625 44595 48779 74325 110001 123875 146337 183335 222975 243895 330003 371625 439011 550005 731685 916675 1114875 1219475 1650015 1804823 2195055 2750025 3658425 4583375 5414469 6097375 8250075 9024115 10975275 13750125 16243407 18292125 27072345 41250375 45120575 48339989 54876375 81217035 135361725 145019967 225602875 241699945 406085175 435059901 676808625 725099835 1208499725 1788579593 2030425875 2175299505 3625499175 5365738779 6042498625 8942897965 10876497525 16097216337 18127495875 26828693895 44714489825 54382487625 80486081685 134143469475 223572449125 402430408425 670717347375 2012152042125