Search a number
-
+
3003143413 is a prime number
BaseRepresentation
bin1011001100000000…
…0101010011110101
321202021221111021211
42303000011103311
522122301042123
61213555441421
7134264204104
oct26300052365
97667844254
103003143413
111301218106
126b98b6271
1338b24524a
14206bc403b
151289b540d
hexb30054f5

3003143413 has 2 divisors, whose sum is σ = 3003143414. Its totient is φ = 3003143412.

The previous prime is 3003143411. The next prime is 3003143447. The reversal of 3003143413 is 3143413003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1536483204 + 1466660209 = 39198^2 + 38297^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003143413 - 21 = 3003143411 is a prime.

It is a super-3 number, since 3×30031434133 (a number of 29 digits) contains 333 as substring.

Together with 3003143411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3003143411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501571706 + 1501571707.

It is an arithmetic number, because the mean of its divisors is an integer number (1501571707).

Almost surely, 23003143413 is an apocalyptic number.

It is an amenable number.

3003143413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003143413 is an equidigital number, since it uses as much as digits as its factorization.

3003143413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3003143413 is about 54800.9435411472. The cubic root of 3003143413 is about 1442.7531262555.

Adding to 3003143413 its reverse (3143413003), we get a palindrome (6146556416).

The spelling of 3003143413 in words is "three billion, three million, one hundred forty-three thousand, four hundred thirteen".