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332013130132289 is a prime number
BaseRepresentation
bin100101101111101101101010…
…0101011101010101101000001
31121112120010220220011000201012
41023133123110223222231001
5322004200342303213124
63134044420520450305
7126635104606023404
oct11337332453525501
91545503826130635
10332013130132289
1196875a83439061
12312a2451619995
131133491c410b78
145bdb7423d3d3b
15285b6541bee0e
hex12df6d4aeab41

332013130132289 has 2 divisors, whose sum is σ = 332013130132290. Its totient is φ = 332013130132288.

The previous prime is 332013130132247. The next prime is 332013130132357. The reversal of 332013130132289 is 982231031310233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289028322693889 + 42984807438400 = 17000833^2 + 6556280^2 .

It is an emirp because it is prime and its reverse (982231031310233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 332013130132289 - 216 = 332013130066753 is a prime.

It is a super-2 number, since 2×3320131301322892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332013130138289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166006565066144 + 166006565066145.

It is an arithmetic number, because the mean of its divisors is an integer number (166006565066145).

Almost surely, 2332013130132289 is an apocalyptic number.

It is an amenable number.

332013130132289 is a deficient number, since it is larger than the sum of its proper divisors (1).

332013130132289 is an equidigital number, since it uses as much as digits as its factorization.

332013130132289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 332013130132289 in words is "three hundred thirty-two trillion, thirteen billion, one hundred thirty million, one hundred thirty-two thousand, two hundred eighty-nine".