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11323322322208 = 25133792038763
BaseRepresentation
bin1010010011000110101010…
…0110101100110100100000
31111002111110210122102120221
42210301222212230310200
52441010131003302313
640025510143012424
72246040324445321
oct244615246546440
944074423572527
1011323322322208
113676215286066
12132a65189a114
13641a28027000
142b20a1d0a448
1514982b5e5c8d
hexa4c6a9acd20

11323322322208 has 96 divisors (see below), whose sum is σ = 24455381932800. Its totient is φ = 5159992451328.

The previous prime is 11323322322199. The next prime is 11323322322233. The reversal of 11323322322208 is 80222322332311.

It is a super-2 number, since 2×113233223222082 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4534635 + ... + 6573397.

It is an arithmetic number, because the mean of its divisors is an integer number (254743561800).

Almost surely, 211323322322208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323322322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227690966400).

11323322322208 is an abundant number, since it is smaller than the sum of its proper divisors (13132059610592).

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

11323322322208 is an equidigital number, since it uses as much as digits as its factorization.

11323322322208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038891 (or 2038857 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 11323322322208 its reverse (80222322332311), we get a palindrome (91545644654519).

The spelling of 11323322322208 in words is "eleven trillion, three hundred twenty-three billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 169 208 316 338 416 632 676 1027 1264 1352 2054 2197 2528 2704 4108 4394 5408 8216 8788 13351 16432 17576 26702 32864 35152 53404 70304 106808 173563 213616 347126 427232 694252 1388504 2038763 2777008 4077526 5554016 8155052 16310104 26503919 32620208 53007838 65240416 106015676 161062277 212031352 322124554 344550947 424062704 644249108 689101894 848125408 1288498216 1378203788 2093809601 2576996432 2756407576 4187619202 4479162311 5153992864 5512815152 8375238404 8958324622 11025630304 16750476808 17916649244 27219524813 33500953616 35833298488 54439049626 67001907232 71666596976 108878099252 143333193952 217756198504 353853822569 435512397008 707707645138 871024794016 1415415290276 2830830580552 5661661161104 11323322322208