Search a number
-
+
30122232222300 = 22352487569362347
BaseRepresentation
bin1101101100101011000001…
…11100111001001001011100
310221122122202011012000022120
412312111200330321021130
512422010312422103200
6144021543515542540
76226154665213311
oct666254074711134
9127578664160276
1030122232222300
119663848893899
123465a8275aa50
1313a668bc2a5ca
14761cd0d5ad08
15373835c139a0
hex1b6560f3925c

30122232222300 has 144 divisors (see below), whose sum is σ = 87486344682240. Its totient is φ = 8001991088640.

The previous prime is 30122232222253. The next prime is 30122232222323. The reversal of 30122232222300 is 322223222103.

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 47 ways as a sum of consecutive naturals, for example, 82949727 + ... + 83312073.

Almost surely, 230122232222300 is an apocalyptic number.

30122232222300 is a gapful number since it is divisible by the number (30) 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 30122232222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43743172341120).

30122232222300 is an abundant number, since it is smaller than the sum of its proper divisors (57364112459940).

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

30122232222300 is a wasteful number, since it uses less digits than its factorization.

30122232222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363420 (or 363413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30122232222300 its reverse (322223222103), we get a palindrome (30444455444403).

The spelling of 30122232222300 in words is "thirty trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 569 974 1138 1461 1707 1948 2276 2435 2845 2922 3414 4870 5690 5844 6828 7305 8535 9740 11380 12175 14225 14610 17070 24350 28450 29220 34140 36525 42675 48700 56900 73050 85350 146100 170700 277103 362347 554206 724694 831309 1087041 1108412 1385515 1449388 1662618 1811735 2174082 2771030 3325236 3623470 4156545 4348164 5435205 5542060 6927575 7246940 8313090 9058675 10870410 13855150 16626180 18117350 20782725 21740820 27176025 27710300 36234700 41565450 54352050 83130900 108704100 176462989 206175443 352925978 412350886 529388967 618526329 705851956 824701772 882314945 1030877215 1058777934 1237052658 1764629890 2061754430 2117555868 2474105316 2646944835 3092631645 3529259780 4123508860 4411574725 5154386075 5293889670 6185263290 8823149450 10308772150 10587779340 12370526580 13234724175 15463158225 17646298900 20617544300 26469448350 30926316450 52938896700 61852632900 100407440741 200814881482 301222322223 401629762964 502037203705 602444644446 1004074407410 1204889288892 1506111611115 2008148814820 2510186018525 3012223222230 5020372037050 6024446444460 7530558055575 10040744074100 15061116111150 30122232222300