Search a number
-
+
13301132222000 = 245372135725839
BaseRepresentation
bin1100000110001110100101…
…0000101101111000110000
31202002120112202220101121202
43001203221100231320300
53220411204322101000
644142242241110332
72541655312301600
oct301435120557060
952076482811552
1013301132222000
114268a8441a157
1215a9a223283a8
137563a323a16c
1433dac7692c00
15180ed6443dd5
hexc18e942de30

13301132222000 has 120 divisors (see below), whose sum is σ = 37413099247680. Its totient is φ = 4560388156800.

The previous prime is 13301132221999. The next prime is 13301132222011. The reversal of 13301132222000 is 22223110331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67764920 + ... + 67960919.

It is an arithmetic number, because the mean of its divisors is an integer number (311775827064).

Almost surely, 213301132222000 is an apocalyptic number.

13301132222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301132222000 is an abundant number, since it is smaller than the sum of its proper divisors (24111967025680).

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

13301132222000 is a wasteful number, since it uses less digits than its factorization.

13301132222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135725876 (or 135725853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13301132222000 its reverse (22223110331), we get a palindrome (13323355332331).

The spelling of 13301132222000 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 135725839 271451678 542903356 678629195 950080873 1085806712 1357258390 1900161746 2171613424 2714516780 3393145975 3800323492 4750404365 5429033560 6650566111 6786291950 7600646984 9500808730 10858067120 13301132222 13572583900 15201293968 16965729875 19001617460 23752021825 26602264444 27145167800 33252830555 33931459750 38003234920 47504043650 53204528888 54290335600 66505661110 67862919500 76006469840 95008087300 106409057776 118760109125 133011322220 135725839000 166264152775 190016174600 237520218250 266022644440 271451678000 332528305550 380032349200 475040436500 532045288880 665056611100 831320763875 950080873000 1330113222200 1662641527750 1900161746000 2660226444400 3325283055500 6650566111000 13301132222000