Search a number
-
+
13202320000237 is a prime number
BaseRepresentation
bin1100000000011110011110…
…0110000000010011101101
31201202010111101021102210121
43000013213212000103231
53212301322410001422
644025021224204541
72531556540256444
oct300074746002355
951663441242717
1013202320000237
114230088502465
121592846309751
13749c86832ca4
14338dd229dd5b
1517d65162d8c7
hexc01e79804ed

13202320000237 has 2 divisors, whose sum is σ = 13202320000238. Its totient is φ = 13202320000236.

The previous prime is 13202320000211. The next prime is 13202320000267. The reversal of 13202320000237 is 73200002320231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12486230019396 + 716089980841 = 3533586^2 + 846221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13202320000237 is a prime.

It is a super-3 number, since 3×132023200002373 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202320000267) 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 as a sum of consecutive naturals, namely, 6601160000118 + 6601160000119.

It is an arithmetic number, because the mean of its divisors is an integer number (6601160000119).

Almost surely, 213202320000237 is an apocalyptic number.

It is an amenable number.

13202320000237 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202320000237 is an equidigital number, since it uses as much as digits as its factorization.

13202320000237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 25.

Adding to 13202320000237 its reverse (73200002320231), we get a palindrome (86402322320468).

The spelling of 13202320000237 in words is "thirteen trillion, two hundred two billion, three hundred twenty million, two hundred thirty-seven", and thus it is an aban number.