Search a number
-
+
7007238181 is a prime number
BaseRepresentation
bin1101000011010100…
…11111100000100101
3200002100100120201001
412201222133200211
5103322323110211
63115153233301
7335434353556
oct64152374045
920070316631
107007238181
112a76448839
121436862831
1387896b6a8
144a68c232d
152b0298ac1
hex1a1a9f825

7007238181 has 2 divisors, whose sum is σ = 7007238182. Its totient is φ = 7007238180.

The previous prime is 7007238179. The next prime is 7007238241. The reversal of 7007238181 is 1818327007.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4229421156 + 2777817025 = 65034^2 + 52705^2 .

It is a cyclic number.

It is not a de Polignac number, because 7007238181 - 21 = 7007238179 is a prime.

It is a super-2 number, since 2×70072381812 = 98202773850528377522, which contains 22 as substring.

Together with 7007238179, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 7007238181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7007238281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3503619090 + 3503619091.

It is an arithmetic number, because the mean of its divisors is an integer number (3503619091).

Almost surely, 27007238181 is an apocalyptic number.

It is an amenable number.

7007238181 is a deficient number, since it is larger than the sum of its proper divisors (1).

7007238181 is an equidigital number, since it uses as much as digits as its factorization.

7007238181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 7007238181 is about 83709.2478821785. The cubic root of 7007238181 is about 1913.5902957466.

The spelling of 7007238181 in words is "seven billion, seven million, two hundred thirty-eight thousand, one hundred eighty-one".