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2001131403289 is a prime number
BaseRepresentation
bin11101000111101100101…
…110011111100000011001
321002022021021210002111121
4131013230232133200121
5230241304114401124
64131150154525241
7264401621162644
oct35075456374031
97068237702447
102001131403289
11701747564927
122839baa36821
13116923a8b985
146cbd8c44a5b
15370c24b82e4
hex1d1ecb9f819

2001131403289 has 2 divisors, whose sum is σ = 2001131403290. Its totient is φ = 2001131403288.

The previous prime is 2001131403259. The next prime is 2001131403343. The reversal of 2001131403289 is 9823041311002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1808129340889 + 193002062400 = 1344667^2 + 439320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001131403289 - 215 = 2001131370521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001131403239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000565701644 + 1000565701645.

It is an arithmetic number, because the mean of its divisors is an integer number (1000565701645).

Almost surely, 22001131403289 is an apocalyptic number.

It is an amenable number.

2001131403289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001131403289 is an equidigital number, since it uses as much as digits as its factorization.

2001131403289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 2001131403289 in words is "two trillion, one billion, one hundred thirty-one million, four hundred three thousand, two hundred eighty-nine".