Search a number
-
+
12330322133100 = 2235241101073777
BaseRepresentation
bin1011001101101110000001…
…1110001000000001101100
31121122202201100110002110020
42303123200132020001230
53104004444431224400
642120245523442140
72411556606555306
oct263334036100154
947582640402406
1012330322133100
113a24295436534
121471847b26350
136b598a56068a
14308b0dc60976
15165b1763a2a0
hexb36e078806c

12330322133100 has 36 divisors (see below), whose sum is σ = 35675732039304. Its totient is φ = 3288085902080.

The previous prime is 12330322133081. The next prime is 12330322133131. The reversal of 12330322133100 is 133122303321.

It is a super-2 number, since 2×123303221331002 (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 11 ways as a sum of consecutive naturals, for example, 20550536589 + ... + 20550537188.

Almost surely, 212330322133100 is an apocalyptic number.

12330322133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330322133100 is an abundant number, since it is smaller than the sum of its proper divisors (23345409906204).

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

12330322133100 is a wasteful number, since it uses less digits than its factorization.

12330322133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41101073794 (or 41101073787 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12330322133100 its reverse (133122303321), we get a palindrome (12463444436421).

The spelling of 12330322133100 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 41101073777 82202147554 123303221331 164404295108 205505368885 246606442662 411010737770 493212885324 616516106655 822021475540 1027526844425 1233032213310 2055053688850 2466064426620 3082580533275 4110107377700 6165161066550 12330322133100