Search a number
-
+
13210113022300 = 225217232911650157
BaseRepresentation
bin1100000000111011100000…
…0110000001100101011100
31201202212121111012222100101
43000032320012001211130
53212413302413203200
644032350411510444
72532253626000415
oct300167006014534
951685544188311
1013210113022300
114233417461267
121594260158424
1374a92921794c
1433953128a80c
1517d95a89226a
hexc03b818195c

13210113022300 has 144 divisors (see below), whose sum is σ = 32763972346560. Its totient is φ = 4592957501440.

The previous prime is 13210113022297. The next prime is 13210113022319. The reversal of 13210113022300 is 322031101231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4691179 + ... + 6958978.

It is an arithmetic number, because the mean of its divisors is an integer number (227527585740).

Almost surely, 213210113022300 is an apocalyptic number.

13210113022300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210113022300 is an abundant number, since it is smaller than the sum of its proper divisors (19553859324260).

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

13210113022300 is a wasteful number, since it uses less digits than its factorization.

13210113022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650240 (or 11650233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13210113022300 its reverse (322031101231), we get a palindrome (13532144123531).

The spelling of 13210113022300 in words is "thirteen trillion, two hundred ten billion, one hundred thirteen million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 29 34 46 50 58 68 85 92 100 115 116 145 170 230 290 340 391 425 460 493 575 580 667 725 782 850 986 1150 1334 1450 1564 1700 1955 1972 2300 2465 2668 2900 3335 3910 4930 6670 7820 9775 9860 11339 12325 13340 16675 19550 22678 24650 33350 39100 45356 49300 56695 66700 113390 226780 283475 566950 1133900 11650157 23300314 46600628 58250785 116501570 198052669 233003140 267953611 291253925 337854553 396105338 535907222 582507850 675709106 792210676 990263345 1071814444 1165015700 1339768055 1351418212 1689272765 1980526690 2679536110 3378545530 3961053380 4555211387 4951316725 5359072220 5743527401 6698840275 6757091060 7770654719 8446363825 9110422774 9902633450 11487054802 13397680550 15541309438 16892727650 18220845548 19805266900 22776056935 22974109604 26795361100 28717637005 31082618876 33785455300 38853273595 45552113870 57435274010 77706547190 91104227740 113880284675 114870548020 132101130223 143588185025 155413094380 194266367975 227760569350 264202260446 287176370050 388532735950 455521138700 528404520892 574352740100 660505651115 777065471900 1321011302230 2642022604460 3302528255575 6605056511150 13210113022300