Search a number
-
+
12322000221322 = 2111925689272719
BaseRepresentation
bin1011001101001111000001…
…1100100011010010001010
31121121222020101022011121111
42303103300130203102022
53103340424024040242
642112352044200534
72411143436514661
oct263236034432212
947558211264544
1012322000221322
113a20804988aa0
121470104b3914a
136b4c6241a11c
1430856091bdd8
151657cbc53817
hexb34f072348a

12322000221322 has 48 divisors (see below), whose sum is σ = 21284170588800. Its totient is φ = 5305172345280.

The previous prime is 12322000221319. The next prime is 12322000221359. The reversal of 12322000221322 is 22312200022321.

It is a super-3 number, since 3×123220002213223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12322000221293 and 12322000221302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45045679 + ... + 45318397.

It is an arithmetic number, because the mean of its divisors is an integer number (443420220600).

Almost surely, 212322000221322 is an apocalyptic number.

12322000221322 is a deficient number, since it is larger than the sum of its proper divisors (8962170367478).

12322000221322 is a wasteful number, since it uses less digits than its factorization.

12322000221322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278459 (or 278440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12322000221322 its reverse (22312200022321), we get a palindrome (34634200243643).

The spelling of 12322000221322 in words is "twelve trillion, three hundred twenty-two billion, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 11 19 22 38 209 361 418 722 3971 5689 7942 11378 62579 108091 125158 216182 272719 545438 1189001 2053729 2378002 2999909 4107458 5181661 5999818 10363322 22591019 45182038 56998271 98451559 113996542 196903118 1082967149 1551498391 2165934298 3102996782 17066482301 29478469429 34132964602 58956938858 324263163719 560090919151 648526327438 1120181838302 6161000110661 12322000221322