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1001121337 is a prime number
BaseRepresentation
bin111011101010111…
…110011000111001
32120202210020022001
4323222332120321
54022241340322
6243201301001
733544251046
oct7352763071
92522706261
101001121337
1147411a307
1223b334761
1312c5406b8
1496d601cd
155cd53827
hex3babe639

1001121337 has 2 divisors, whose sum is σ = 1001121338. Its totient is φ = 1001121336.

The previous prime is 1001121323. The next prime is 1001121367. The reversal of 1001121337 is 7331211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986650921 + 14470416 = 31411^2 + 3804^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121337 - 211 = 1001119289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001121367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560668 + 500560669.

It is an arithmetic number, because the mean of its divisors is an integer number (500560669).

Almost surely, 21001121337 is an apocalyptic number.

It is an amenable number.

1001121337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121337 is an equidigital number, since it uses as much as digits as its factorization.

1001121337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1001121337 is about 31640.5015288949. The cubic root of 1001121337 is about 1000.3736393762.

Adding to 1001121337 its reverse (7331211001), we get a palindrome (8332332338).

The spelling of 1001121337 in words is "one billion, one million, one hundred twenty-one thousand, three hundred thirty-seven".