Search a number
-
+
132223134342401 is a prime number
BaseRepresentation
bin11110000100000110011000…
…111101000001110100000001
3122100011102000120111011221122
4132010012120331001310001
5114312320434342424101
61145114245214202025
736564543346631114
oct3604063075016401
9570142016434848
10132223134342401
1139148575317053
12129b58901b3315
1358a1784ca3a0b
1424918c33cc57b
1510446619e551b
hex784198f41d01

132223134342401 has 2 divisors, whose sum is σ = 132223134342402. Its totient is φ = 132223134342400.

The previous prime is 132223134342349. The next prime is 132223134342421. The reversal of 132223134342401 is 104243431322231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85677978937600 + 46545155404801 = 9256240^2 + 6822401^2 .

It is an emirp because it is prime and its reverse (104243431322231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 132223134342401 - 242 = 127825087831297 is a prime.

It is not a weakly prime, because it can be changed into another prime (132223134342421) 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, 66111567171200 + 66111567171201.

It is an arithmetic number, because the mean of its divisors is an integer number (66111567171201).

Almost surely, 2132223134342401 is an apocalyptic number.

It is an amenable number.

132223134342401 is a deficient number, since it is larger than the sum of its proper divisors (1).

132223134342401 is an equidigital number, since it uses as much as digits as its factorization.

132223134342401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 132223134342401 its reverse (104243431322231), we get a palindrome (236466565664632).

The spelling of 132223134342401 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred thirty-four million, three hundred forty-two thousand, four hundred one".