Search a number
-
+
12332112300 = 2234521522483
BaseRepresentation
bin10110111110000110…
…10001100110101100
31011211110001012210000
423133003101212230
5200224010043200
65355411544300
7614413140114
oct133703214654
934743035700
1012332112300
115259179552
122481bbb090
131216bc6b91
1484db90044
154c29c4300
hex2df0d19ac

12332112300 has 90 divisors (see below), whose sum is σ = 39975862388. Its totient is φ = 3288561120.

The previous prime is 12332112293. The next prime is 12332112311. The reversal of 12332112300 is 321123321.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×123321123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 753142 + ... + 769341.

Almost surely, 212332112300 is an apocalyptic number.

12332112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332112300 is an abundant number, since it is smaller than the sum of its proper divisors (27643750088).

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

12332112300 is a wasteful number, since it uses less digits than its factorization.

12332112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522509 (or 1522493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12332112300 its reverse (321123321), we get a palindrome (12653235621).

The spelling of 12332112300 in words is "twelve billion, three hundred thirty-two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1522483 3044966 4567449 6089932 7612415 9134898 13702347 15224830 18269796 22837245 27404694 30449660 38062075 41107041 45674490 54809388 68511735 76124150 82214082 91348980 114186225 123321123 137023470 152248300 164428164 205535205 228372450 246642246 274046940 342558675 411070410 456744900 493284492 616605615 685117350 822140820 1027676025 1233211230 1370234700 2055352050 2466422460 3083028075 4110704100 6166056150 12332112300