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2101332001 is a prime number
BaseRepresentation
bin111110100111111…
…1100100000100001
312102110000201121011
41331033330200201
513300420111001
6544302500521
7103034012236
oct17517744041
95373021534
102101332001
1198916891a
124a7894741
13276466222
1415d11578d
15c472bd51
hex7d3fc821

2101332001 has 2 divisors, whose sum is σ = 2101332002. Its totient is φ = 2101332000.

The previous prime is 2101331987. The next prime is 2101332007. The reversal of 2101332001 is 1002331012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1681082001 + 420250000 = 41001^2 + 20500^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101332001 - 217 = 2101200929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050666000 + 1050666001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050666001).

Almost surely, 22101332001 is an apocalyptic number.

It is an amenable number.

2101332001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101332001 is an equidigital number, since it uses as much as digits as its factorization.

2101332001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2101332001 is about 45840.2879681182. The cubic root of 2101332001 is about 1280.8498589898.

Adding to 2101332001 its reverse (1002331012), we get a palindrome (3103663013).

The spelling of 2101332001 in words is "two billion, one hundred one million, three hundred thirty-two thousand, one".