Search a number
-
+
144300203242301 is a prime number
BaseRepresentation
bin100000110011110110000010…
…010110101111001100111101
3200220220222001021022001022002
4200303312002112233030331
5122403203304012223201
61230522333114232045
742252226361534651
oct4063660226571475
9626828037261262
10144300203242301
1141a84410917057
121422641a125625
1362695b2488a42
14278c24a756a61
1511a38a590076b
hex833d825af33d

144300203242301 has 2 divisors, whose sum is σ = 144300203242302. Its totient is φ = 144300203242300.

The previous prime is 144300203242219. The next prime is 144300203242337. The reversal of 144300203242301 is 103242302003441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110659333236676 + 33640870005625 = 10519474^2 + 5800075^2 .

It is a cyclic number.

It is not a de Polignac number, because 144300203242301 - 246 = 73931459064637 is a prime.

It is a super-3 number, since 3×1443002032423013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144300203242201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72150101621150 + 72150101621151.

It is an arithmetic number, because the mean of its divisors is an integer number (72150101621151).

Almost surely, 2144300203242301 is an apocalyptic number.

It is an amenable number.

144300203242301 is a deficient number, since it is larger than the sum of its proper divisors (1).

144300203242301 is an equidigital number, since it uses as much as digits as its factorization.

144300203242301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 144300203242301 its reverse (103242302003441), we get a palindrome (247542505245742).

The spelling of 144300203242301 in words is "one hundred forty-four trillion, three hundred billion, two hundred three million, two hundred forty-two thousand, three hundred one".