Search a number
-
+
1002313409 is a prime number
BaseRepresentation
bin111011101111100…
…001011011000001
32120212000210111212
4323233201123001
54023043012114
6243243015505
733560344346
oct7357413301
92525023455
101002313409
11474863999
1223b80a595
1312c86a176
14971907cd
155cedbb3e
hex3bbe16c1

1002313409 has 2 divisors, whose sum is σ = 1002313410. Its totient is φ = 1002313408.

The previous prime is 1002313393. The next prime is 1002313423. The reversal of 1002313409 is 9043132001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885241009 + 117072400 = 29753^2 + 10820^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002313409 - 24 = 1002313393 is a prime.

It is a super-2 number, since 2×10023134092 = 2009264339722402562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002313439) 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, 501156704 + 501156705.

It is an arithmetic number, because the mean of its divisors is an integer number (501156705).

Almost surely, 21002313409 is an apocalyptic number.

It is an amenable number.

1002313409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002313409 is an equidigital number, since it uses as much as digits as its factorization.

1002313409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1002313409 is about 31659.3336790274. Note that the first 3 decimals coincide. The cubic root of 1002313409 is about 1000.7705424452.

It can be divided in two parts, 10023 and 13409, that added together give a palindrome (23432).

The spelling of 1002313409 in words is "one billion, two million, three hundred thirteen thousand, four hundred nine".