Search a number
-
+
12100300130333 is a prime number
BaseRepresentation
bin1011000000010101001000…
…0101110100100000011101
31120211202222201110122110102
42300011102011310200131
53041222403313132313
641422445013550445
72356134501032402
oct260052205644035
946752881418412
1012100300130333
113945787a732a8
121435152045425
1369a09044452c
142db92c8482a9
1515eb53692a58
hexb015217481d

12100300130333 has 2 divisors, whose sum is σ = 12100300130334. Its totient is φ = 12100300130332.

The previous prime is 12100300130293. The next prime is 12100300130377. The reversal of 12100300130333 is 33303100300121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8468786773924 + 3631513356409 = 2910118^2 + 1905653^2 .

It is an emirp because it is prime and its reverse (33303100300121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100300130333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100300130033) 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 as a sum of consecutive naturals, namely, 6050150065166 + 6050150065167.

It is an arithmetic number, because the mean of its divisors is an integer number (6050150065167).

Almost surely, 212100300130333 is an apocalyptic number.

It is an amenable number.

12100300130333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100300130333 is an equidigital number, since it uses as much as digits as its factorization.

12100300130333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12100300130333 its reverse (33303100300121), we get a palindrome (45403400430454).

The spelling of 12100300130333 in words is "twelve trillion, one hundred billion, three hundred million, one hundred thirty thousand, three hundred thirty-three".