Search a number
-
+
212320133320022 = 2713591011271541497
BaseRepresentation
bin110000010001101010100010…
…001000000000110101010110
31000211202121101011000211001022
4300101222202020000311112
5210312123113112220042
62031322304523401142
762502423555545540
oct6021524210006526
91024677334024038
10212320133320022
11617195100a2802
121b9910930831b2
139161919993980
143a604c6612690
151982e01e71cd2
hexc11aa2200d56

212320133320022 has 128 divisors (see below), whose sum is σ = 405736085422080. Its totient is φ = 81109819929600.

The previous prime is 212320133320007. The next prime is 212320133320039. The reversal of 212320133320022 is 220023331023212.

It is a super-3 number, since 3×2123201333200223 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 212320133319973 and 212320133320000.

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 63 ways as a sum of consecutive naturals, for example, 136965578 + ... + 138507074.

It is an arithmetic number, because the mean of its divisors is an integer number (3169813167360).

Almost surely, 2212320133320022 is an apocalyptic number.

212320133320022 is a deficient number, since it is larger than the sum of its proper divisors (193415952102058).

212320133320022 is a wasteful number, since it uses less digits than its factorization.

212320133320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541806.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 212320133320022 its reverse (220023331023212), we get a palindrome (432343464343234).

The spelling of 212320133320022 in words is "two hundred twelve trillion, three hundred twenty billion, one hundred thirty-three million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 7 13 14 26 59 91 101 118 127 182 202 254 413 707 767 826 889 1313 1414 1534 1651 1778 2626 3302 5369 5959 7493 9191 10738 11557 11918 12827 14986 18382 23114 25654 41713 52451 77467 83426 89789 97409 104902 154934 166751 179578 194818 333502 542269 681863 756793 1084538 1167257 1363726 1513586 1541497 2334514 3082994 5297551 9838309 10595102 10790479 19676618 20039461 21580958 40078922 68868163 90948323 137736326 140276227 155691197 181896646 195770119 280552454 311382394 391540238 636638261 1089838379 1182328199 1273276522 1370390833 2023985561 2179676758 2364656398 2545011547 2740781666 4047971122 5090023094 8276297393 9185780623 11550437021 14167898927 16552594786 17815080829 18371561246 19772782019 23100874042 28335797854 35630161658 39545564038 64300464361 80853059147 119415148099 128600928722 138409474133 150155681273 161706118294 238830296198 257046166247 276818948266 300311362546 514092332494 835906036693 1051089768911 1166594139121 1671812073386 1799323163729 2102179537822 2333188278242 3598646327458 8166158973847 15165723808573 16332317947694 30331447617146 106160066660011 212320133320022