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1023045137 is a prime number
BaseRepresentation
bin111100111110100…
…110111000010001
32122022001002002122
4330332212320101
54043344421022
6245303224025
734231511612
oct7476467021
92568032078
101023045137
11485533a54
12246748015
13133c4866a
1499c29c09
155ec34742
hex3cfa6e11

1023045137 has 2 divisors, whose sum is σ = 1023045138. Its totient is φ = 1023045136.

The previous prime is 1023045119. The next prime is 1023045157. The reversal of 1023045137 is 7315403201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750266881 + 272778256 = 27391^2 + 16516^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023045137 - 28 = 1023044881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023045157) 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, 511522568 + 511522569.

It is an arithmetic number, because the mean of its divisors is an integer number (511522569).

Almost surely, 21023045137 is an apocalyptic number.

It is an amenable number.

1023045137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023045137 is an equidigital number, since it uses as much as digits as its factorization.

1023045137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1023045137 is about 31985.0767859013. The cubic root of 1023045137 is about 1007.6234476947.

Adding to 1023045137 its reverse (7315403201), we get a palindrome (8338448338).

The spelling of 1023045137 in words is "one billion, twenty-three million, forty-five thousand, one hundred thirty-seven".