Search a number
-
+
13122420201437 is a prime number
BaseRepresentation
bin1011111011110100110100…
…1100011101011111011101
31201110111021000201010000012
42332331031030131133131
53204444204032421222
643524205010213005
72523030543215561
oct276751514353735
951414230633005
1013122420201437
1141aa207114a98
12157b267b84165
137425923b2431
143351b29696a1
1517b526d541e2
hexbef4d31d7dd

13122420201437 has 2 divisors, whose sum is σ = 13122420201438. Its totient is φ = 13122420201436.

The previous prime is 13122420201419. The next prime is 13122420201461. The reversal of 13122420201437 is 73410202422131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13000884994276 + 121535207161 = 3605674^2 + 348619^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122420201437 - 210 = 13122420200413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122420201487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561210100718 + 6561210100719.

It is an arithmetic number, because the mean of its divisors is an integer number (6561210100719).

Almost surely, 213122420201437 is an apocalyptic number.

It is an amenable number.

13122420201437 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122420201437 is an equidigital number, since it uses as much as digits as its factorization.

13122420201437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 13122420201437 its reverse (73410202422131), we get a palindrome (86532622623568).

The spelling of 13122420201437 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred one thousand, four hundred thirty-seven".