Search a number
-
+
223313132130132 = 2231119132092760179
BaseRepresentation
bin110010110001101000100011…
…111010100000111101010100
31002021200112020010201012100110
4302301220203322200331110
5213232230243311131012
62110540345303243020
765015561406645642
oct6261504372407524
91067615203635313
10223313132130132
1165177627365070
12210676b8149470
13977b4517862c5
143d205adddc192
151ac3d48b7973c
hexcb1a23ea0f54

223313132130132 has 96 divisors (see below), whose sum is σ = 571587790233600. Its totient is φ = 67295347782400.

The previous prime is 223313132130097. The next prime is 223313132130149. The reversal of 223313132130132 is 231031231313322.

It is a self number, because there is not a number n which added to its sum of digits gives 223313132130132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79525219 + ... + 82285397.

It is an arithmetic number, because the mean of its divisors is an integer number (5954039481600).

Almost surely, 2223313132130132 is an apocalyptic number.

223313132130132 is a gapful number since it is divisible by the number (22) 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 223313132130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285793895116800).

223313132130132 is an abundant number, since it is smaller than the sum of its proper divisors (348274658103468).

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

223313132130132 is a wasteful number, since it uses less digits than its factorization.

223313132130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763597 (or 2763595 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 223313132130132 its reverse (231031231313322), we get a palindrome (454344363443454).

The spelling of 223313132130132 in words is "two hundred twenty-three trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 3209 4202 6303 6418 8404 9627 12606 12836 19254 25212 35299 38508 70598 105897 141196 211794 423588 612919 1225838 1838757 2451676 2760179 3677514 5520358 6742109 7355028 8280537 11040716 13484218 16561074 20226327 26968436 30361969 33122148 40452654 60723938 80905308 91085907 121447876 182171814 364343628 527194189 1054388378 1581582567 2108776756 3163165134 5799136079 6326330268 8857414411 11598272158 17397408237 17714828822 23196544316 26572243233 34794816474 35429657644 53144486466 69589632948 97431558521 106288972932 194863117042 292294675563 389726234084 584589351126 1169178702252 1691766152501 3383532305002 5075298457503 6767064610004 10150596915006 18609427677511 20301193830012 37218855355022 55828283032533 74437710710044 111656566065066 223313132130132