[go: up one dir, main page]

Search a number
-
+
1002136249 is a prime number
BaseRepresentation
bin111011101110110…
…110001010111001
32120211200210111101
4323232312022321
54023021324444
6243235131401
733556006012
oct7356661271
92524623441
101002136249
11474752884
1223b743b61
1312c80763a
1497146009
155cea43d4
hex3bbb62b9

1002136249 has 2 divisors, whose sum is σ = 1002136250. Its totient is φ = 1002136248.

The previous prime is 1002136237. The next prime is 1002136253. The reversal of 1002136249 is 9426312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 928725625 + 73410624 = 30475^2 + 8568^2 .

It is an emirp because it is prime and its reverse (9426312001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002136249 - 221 = 1000039097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002136229) 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, 501068124 + 501068125.

It is an arithmetic number, because the mean of its divisors is an integer number (501068125).

Almost surely, 21002136249 is an apocalyptic number.

It is an amenable number.

1002136249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002136249 is an equidigital number, since it uses as much as digits as its factorization.

1002136249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1002136249 is about 31656.5356443184. The cubic root of 1002136249 is about 1000.7115765387.

The spelling of 1002136249 in words is "one billion, two million, one hundred thirty-six thousand, two hundred forty-nine".