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1032023137 is a prime number
BaseRepresentation
bin111101100000110…
…110110001100001
32122220221012121011
4331200312301201
54103144220022
6250223500521
734401023545
oct7540666141
92586835534
101032023137
1148a606292
12249757741
13135a6cca2
149b0c5a25
1560909977
hex3d836c61

1032023137 has 2 divisors, whose sum is σ = 1032023138. Its totient is φ = 1032023136.

The previous prime is 1032023123. The next prime is 1032023183. The reversal of 1032023137 is 7313202301.

It is a happy number.

1032023137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 886193361 + 145829776 = 29769^2 + 12076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032023137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1032024137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516011568 + 516011569.

It is an arithmetic number, because the mean of its divisors is an integer number (516011569).

Almost surely, 21032023137 is an apocalyptic number.

It is an amenable number.

1032023137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032023137 is an equidigital number, since it uses as much as digits as its factorization.

1032023137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 1032023137 is about 32125.1169180752. The cubic root of 1032023137 is about 1010.5624214550.

Adding to 1032023137 its reverse (7313202301), we get a palindrome (8345225438).

The spelling of 1032023137 in words is "one billion, thirty-two million, twenty-three thousand, one hundred thirty-seven".