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1032002137 is a prime number
BaseRepresentation
bin111101100000110…
…001101001011001
32122220220010210101
4331200301221121
54103143032022
6250223215401
734400605405
oct7540615131
92586803711
101032002137
1148a5a1531
12249747561
13135a6356a
149b0bc105
1560903627
hex3d831a59

1032002137 has 2 divisors, whose sum is σ = 1032002138. Its totient is φ = 1032002136.

The previous prime is 1032002131. The next prime is 1032002159. The reversal of 1032002137 is 7312002301.

1032002137 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., 752075776 + 279926361 = 27424^2 + 16731^2 .

It is an emirp because it is prime and its reverse (7312002301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1032002137 - 215 = 1031969369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1032002131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516001068 + 516001069.

It is an arithmetic number, because the mean of its divisors is an integer number (516001069).

Almost surely, 21032002137 is an apocalyptic number.

It is an amenable number.

1032002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032002137 is an equidigital number, since it uses as much as digits as its factorization.

1032002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 1032002137 is about 32124.7900693530. The cubic root of 1032002137 is about 1010.5555669722. Note that the first 4 decimals are identical.

Adding to 1032002137 its reverse (7312002301), we get a palindrome (8344004438).

The spelling of 1032002137 in words is "one billion, thirty-two million, two thousand, one hundred thirty-seven".