Search a number
-
+
12303103300209 = 324197343729313
BaseRepresentation
bin1011001100001000101000…
…0110100001001001110001
31121120011110102102010010100
42303002022012201021301
53103033223421101314
642055545001423013
72406604240366341
oct263021206411161
947504412363110
1012303103300209
113a13798087517
12146851049aa69
136b32404306b7
1430768ad36d21
15165072c7ac09
hexb308a1a1271

12303103300209 has 24 divisors (see below), whose sum is σ = 18392268133512. Its totient is φ = 7919523348480.

The previous prime is 12303103300151. The next prime is 12303103300211. The reversal of 12303103300209 is 90200330130321.

12303103300209 is a `hidden beast` number, since 1 + 2 + 303 + 1 + 0 + 330 + 0 + 20 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 528597340209 + 11774505960000 = 727047^2 + 3431400^2 .

It is not a de Polignac number, because 12303103300209 - 231 = 12300955816561 is a prime.

It is a super-2 number, since 2×123031033002092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12303103300409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171828864 + ... + 171900449.

It is an arithmetic number, because the mean of its divisors is an integer number (766344505563).

Almost surely, 212303103300209 is an apocalyptic number.

It is an amenable number.

12303103300209 is a deficient number, since it is larger than the sum of its proper divisors (6089164833303).

12303103300209 is a wasteful number, since it uses less digits than its factorization.

12303103300209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343729457 (or 343729454 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 12303103300209 in words is "twelve trillion, three hundred three billion, one hundred three million, three hundred thousand, two hundred nine".

Divisors: 1 3 9 41 97 123 291 369 873 3977 11931 35793 343729313 1031187939 3093563817 14092901833 33341743361 42278705499 100025230083 126836116497 300075690249 1367011477801 4101034433403 12303103300209