Search a number
-
+
1005151041149 is a prime number
BaseRepresentation
bin11101010000001111010…
…10111011011001111101
310120002110201000102112212
432220013222323121331
5112432022131304044
62045432055110205
7132422402610503
oct16500752733175
93502421012485
101005151041149
113583116163a2
1214297b072365
1373a294cc198
14369145c4673
151b22daa5a9e
hexea07abb67d

1005151041149 has 2 divisors, whose sum is σ = 1005151041150. Its totient is φ = 1005151041148.

The previous prime is 1005151041109. The next prime is 1005151041203. The reversal of 1005151041149 is 9411401515001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000150005625 + 5001035524 = 1000075^2 + 70718^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005151041149 - 228 = 1004882605693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005151041109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502575520574 + 502575520575.

It is an arithmetic number, because the mean of its divisors is an integer number (502575520575).

Almost surely, 21005151041149 is an apocalyptic number.

It is an amenable number.

1005151041149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005151041149 is an equidigital number, since it uses as much as digits as its factorization.

1005151041149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 32.

The spelling of 1005151041149 in words is "one trillion, five billion, one hundred fifty-one million, forty-one thousand, one hundred forty-nine".