Search a number
-
+
12330323313100 = 22521319499203373
BaseRepresentation
bin1011001101101110000010…
…0010101000000111001100
31121122202201102200001002221
42303123200202220013030
53104010000232004400
642120250005025124
72411556622601452
oct263334042500714
947582642601087
1012330323313100
113a24296072041
1214718483b51a4
136b598a8847c0
14308b1008a9d2
15165b177bec1a
hexb36e08a81cc

12330323313100 has 72 divisors (see below), whose sum is σ = 30331597004240. Its totient is φ = 4313117134080.

The previous prime is 12330323313089. The next prime is 12330323313101. The reversal of 12330323313100 is 131332303321.

It is a super-2 number, since 2×123303233131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12330323313101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249576987 + ... + 249626386.

Almost surely, 212330323313100 is an apocalyptic number.

12330323313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330323313100 is an abundant number, since it is smaller than the sum of its proper divisors (18001273691140).

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

12330323313100 is a wasteful number, since it uses less digits than its factorization.

12330323313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499203419 (or 499203412 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 12330323313100 its reverse (131332303321), we get a palindrome (12461655616421).

The spelling of 12330323313100 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 499203373 998406746 1996813492 2496016865 4992033730 6489643849 9484864087 9984067460 12480084325 12979287698 18969728174 24960168650 25958575396 32448219245 37939456348 47424320435 49920337300 64896438490 94848640870 123303233131 129792876980 162241096225 189697281740 237121602175 246606466262 324482192450 474243204350 493212932524 616516165655 648964384900 948486408700 1233032331310 2466064662620 3082580828275 6165161656550 12330323313100