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12322113330 = 2353720635381
BaseRepresentation
bin10110111100111010…
…01000011100110010
31011210202020012202210
423132131020130302
5200213430111310
65354413352550
7614232143442
oct133635103462
934722205683
1012322113330
11525356a13a
12247a798756
131214b05927
1484c70a122
154c1b9b820
hex2de748732

12322113330 has 64 divisors (see below), whose sum is σ = 30392713728. Its totient is φ = 3194945280.

The previous prime is 12322113319. The next prime is 12322113347. The reversal of 12322113330 is 3331122321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12322113297 and 12322113306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287240 + ... + 2292620.

It is an arithmetic number, because the mean of its divisors is an integer number (474886152).

Almost surely, 212322113330 is an apocalyptic number.

12322113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196356864).

12322113330 is an abundant number, since it is smaller than the sum of its proper divisors (18070600398).

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

12322113330 is a wasteful number, since it uses less digits than its factorization.

12322113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12322113330 its reverse (3331122321), we get a palindrome (15653235651).

The spelling of 12322113330 in words is "twelve billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2063 4126 5381 6189 10315 10762 12378 16143 20630 26905 30945 32286 53810 61890 76331 80715 152662 161430 199097 228993 381655 398194 457986 597291 763310 995485 1144965 1194582 1990970 2289930 2986455 5972910 11101003 22202006 33303009 55505015 66606018 111010030 166515045 333030090 410737111 821474222 1232211333 2053685555 2464422666 4107371110 6161056665 12322113330