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332101313017 is a prime number
BaseRepresentation
bin1001101010100101100…
…01111110000111111001
31011202012201012200200021
410311102301332013321
520420120414004032
6412322031410441
732664531404245
oct4652261760771
91152181180607
10332101313017
11118930595961
1254444083a21
1325417651396
1412106699425
15898aa0e097
hex4d52c7e1f9

332101313017 has 2 divisors, whose sum is σ = 332101313018. Its totient is φ = 332101313016.

The previous prime is 332101312993. The next prime is 332101313041. The reversal of 332101313017 is 710313101233.

It is a balanced prime because it is at equal distance from previous prime (332101312993) and next prime (332101313041).

It can be written as a sum of positive squares in only one way, i.e., 326876336361 + 5224976656 = 571731^2 + 72284^2 .

It is a cyclic number.

It is not a de Polignac number, because 332101313017 - 27 = 332101312889 is a prime.

It is a super-2 number, since 2×3321013130172 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332101312982 and 332101313000.

It is not a weakly prime, because it can be changed into another prime (332101313087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166050656508 + 166050656509.

It is an arithmetic number, because the mean of its divisors is an integer number (166050656509).

Almost surely, 2332101313017 is an apocalyptic number.

It is an amenable number.

332101313017 is a deficient number, since it is larger than the sum of its proper divisors (1).

332101313017 is an equidigital number, since it uses as much as digits as its factorization.

332101313017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 332101313017 in words is "three hundred thirty-two billion, one hundred one million, three hundred thirteen thousand, seventeen".