Search a number
-
+
7001000033 is a prime number
BaseRepresentation
bin1101000010100101…
…01100100001100001
3200001220121122120112
412201102230201201
5103314224000113
63114411421105
7335330342546
oct64122544141
920056548515
107001000033
112a72977a45
121434754795
13877596191
144a5b3abcd
152ae9655a8
hex1a14ac861

7001000033 has 2 divisors, whose sum is σ = 7001000034. Its totient is φ = 7001000032.

The previous prime is 7001000021. The next prime is 7001000047. The reversal of 7001000033 is 3300001007.

It is a happy number.

It is an a-pointer prime, because the next prime (7001000047) can be obtained adding 7001000033 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5902541584 + 1098458449 = 76828^2 + 33143^2 .

It is a cyclic number.

It is not a de Polignac number, because 7001000033 - 216 = 7000934497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7000999981 and 7001000017.

It is not a weakly prime, because it can be changed into another prime (7001000093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3500500016 + 3500500017.

It is an arithmetic number, because the mean of its divisors is an integer number (3500500017).

Almost surely, 27001000033 is an apocalyptic number.

It is an amenable number.

7001000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

7001000033 is an equidigital number, since it uses as much as digits as its factorization.

7001000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 7001000033 is about 83671.9787802344. The cubic root of 7001000033 is about 1913.0222734019.

The spelling of 7001000033 in words is "seven billion, one million, thirty-three", and thus it is an aban number and an uban number.