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1001010137 is a prime number
BaseRepresentation
bin111011101010100…
…011001111011001
32120202120120202112
4323222203033121
54022224311022
6243155042105
733543305621
oct7352431731
92522516675
101001010137
11474053806
1223b2a0335
1312c501bba
1496d31881
155cd308e2
hex3baa33d9

1001010137 has 2 divisors, whose sum is σ = 1001010138. Its totient is φ = 1001010136.

The previous prime is 1001010113. The next prime is 1001010151. The reversal of 1001010137 is 7310101001.

It is an a-pointer prime, because the next prime (1001010151) can be obtained adding 1001010137 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984453376 + 16556761 = 31376^2 + 4069^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505068 + 500505069.

It is an arithmetic number, because the mean of its divisors is an integer number (500505069).

Almost surely, 21001010137 is an apocalyptic number.

It is an amenable number.

1001010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010137 is an equidigital number, since it uses as much as digits as its factorization.

1001010137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1001010137 is about 31638.7442386704. The cubic root of 1001010137 is about 1000.3365990217.

Adding to 1001010137 its reverse (7310101001), we get a palindrome (8311111138).

The spelling of 1001010137 in words is "one billion, one million, ten thousand, one hundred thirty-seven".