Search a number
-
+
12600015240225 = 3527236793153611
BaseRepresentation
bin1011011101011010101101…
…1011101011110000100001
31122121112211201121102221110
42313112223123223300201
53122414312400141400
642444211143013533
72440215060263460
oct267265333536041
948545751542843
1012600015240225
114018700137626
1214b5b7373a2a9
1370523a554b7a
14317bb5cac9d7
1516cb4e29de50
hexb75ab6ebc21

12600015240225 has 96 divisors (see below), whose sum is σ = 24846979405824. Its totient is φ = 5508724953600.

The previous prime is 12600015240217. The next prime is 12600015240227. The reversal of 12600015240225 is 52204251000621.

It is not a de Polignac number, because 12600015240225 - 23 = 12600015240217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12600015240192 and 12600015240201.

It is not an unprimeable number, because it can be changed into a prime (12600015240227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81948670 + ... + 82102280.

It is an arithmetic number, because the mean of its divisors is an integer number (258822702144).

Almost surely, 212600015240225 is an apocalyptic number.

12600015240225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12600015240225 is a deficient number, since it is larger than the sum of its proper divisors (12246964165599).

12600015240225 is a wasteful number, since it uses less digits than its factorization.

12600015240225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160447 (or 160442 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12600015240225 its reverse (52204251000621), we get a palindrome (64804266240846).

The spelling of 12600015240225 in words is "twelve trillion, six hundred billion, fifteen million, two hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1725 2415 4025 6793 12075 20379 33965 47551 101895 142653 153611 156239 169825 237755 460833 468717 509475 713265 768055 781195 1075277 1093673 1188775 2304165 2343585 3225831 3281019 3533053 3566325 3840275 3905975 5376385 5468365 10599159 11520825 11717925 16129155 16405095 17665265 24731371 26881925 27341825 52995795 74194113 80645775 82025475 88326325 123656855 264978975 370970565 618284275 1043479523 1854852825 3130438569 5217397615 7304356661 15652192845 21913069983 24000029029 26086988075 36521783305 72000087087 78260964225 109565349915 120000145145 168000203203 182608916525 360000435435 504000609609 547826749575 600000725725 840001016015 1800002177175 2520003048045 4200005080075 12600015240225