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2053224137 is a prime number
BaseRepresentation
bin111101001100001…
…1011011011001001
312022002111121000102
41322120123123021
513201111133022
6535423415145
7101611055126
oct17230333311
95262447012
102053224137
11963a9a758
124937544b5
132694c1133
1415699174d
15c03c7a92
hex7a61b6c9

2053224137 has 2 divisors, whose sum is σ = 2053224138. Its totient is φ = 2053224136.

The previous prime is 2053224133. The next prime is 2053224149. The reversal of 2053224137 is 7314223502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1825938361 + 227285776 = 42731^2 + 15076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053224137 - 22 = 2053224133 is a prime.

It is not a weakly prime, because it can be changed into another prime (2053224133) 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, 1026612068 + 1026612069.

It is an arithmetic number, because the mean of its divisors is an integer number (1026612069).

Almost surely, 22053224137 is an apocalyptic number.

It is an amenable number.

2053224137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053224137 is an equidigital number, since it uses as much as digits as its factorization.

2053224137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 2053224137 is about 45312.5163393074. The cubic root of 2053224137 is about 1270.9997164860. Note that the first 3 decimals are identical.

Adding to 2053224137 its reverse (7314223502), we get a palindrome (9367447639).

The spelling of 2053224137 in words is "two billion, fifty-three million, two hundred twenty-four thousand, one hundred thirty-seven".