Search a number
-
+
125220505544200 = 235211523110880981
BaseRepresentation
bin11100011110001100101011…
…110000000110011000001000
3121102100222000022222102101001
4130132030223300012120020
5112403103043404403300
61122153301152304344
735242611601145113
oct3436145360063010
9542328008872331
10125220505544200
1136998799984810
12120646a5b420b4
1354b4320b614c1
1422cc9c1db957a
15e7241562816a
hex71e32bc06608

125220505544200 has 96 divisors (see below), whose sum is σ = 317665481857920. Its totient is φ = 45526020320000.

The previous prime is 125220505544149. The next prime is 125220505544227. The reversal of 125220505544200 is 2445505022521.

It is a self number, because there is not a number n which added to its sum of digits gives 125220505544200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6067710 + ... + 16948690.

It is an arithmetic number, because the mean of its divisors is an integer number (3309015436020).

Almost surely, 2125220505544200 is an apocalyptic number.

125220505544200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125220505544200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158832740928960).

125220505544200 is an abundant number, since it is smaller than the sum of its proper divisors (192444976313720).

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

125220505544200 is a wasteful number, since it uses less digits than its factorization.

125220505544200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886239 (or 10886230 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

The spelling of 125220505544200 in words is "one hundred twenty-five trillion, two hundred twenty billion, five hundred five million, five hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5231 10462 20924 26155 41848 52310 57541 104620 115082 130775 209240 230164 261550 287705 460328 523100 575410 1046200 1150820 1438525 2301640 2877050 5754100 10880981 11508200 21761962 43523924 54404905 87047848 108809810 119690791 217619620 239381582 272024525 435239240 478763164 544049050 598453955 957526328 1088098100 1196907910 2176196200 2393815820 2992269775 4787631640 5984539550 11969079100 23938158200 56918411611 113836823222 227673646444 284592058055 455347292888 569184116110 626102527721 1138368232220 1252205055442 1422960290275 2276736464440 2504410110884 2845920580550 3130512638605 5008820221768 5691841161100 6261025277210 11383682322200 12522050554420 15652563193025 25044101108840 31305126386050 62610252772100 125220505544200