Search a number
-
+
144123103181 is a prime number
BaseRepresentation
bin1000011000111001101…
…0000000011111001101
3111210000012001020000102
42012032122000133031
54330131003300211
6150113110140445
713261335110201
oct2061632003715
9453005036012
10144123103181
1156138809632
1223b22651725
131078ab55c15
146d93068b01
153b37bb1a3b
hex218e6807cd

144123103181 has 2 divisors, whose sum is σ = 144123103182. Its totient is φ = 144123103180.

The previous prime is 144123103087. The next prime is 144123103207. The reversal of 144123103181 is 181301321441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90655790281 + 53467312900 = 301091^2 + 231230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144123103181 is a prime.

It is a super-2 number, since 2×1441231031812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144123103781) 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, 72061551590 + 72061551591.

It is an arithmetic number, because the mean of its divisors is an integer number (72061551591).

Almost surely, 2144123103181 is an apocalyptic number.

It is an amenable number.

144123103181 is a deficient number, since it is larger than the sum of its proper divisors (1).

144123103181 is an equidigital number, since it uses as much as digits as its factorization.

144123103181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 144123103181 in words is "one hundred forty-four billion, one hundred twenty-three million, one hundred three thousand, one hundred eighty-one".