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1005110213 is a prime number
BaseRepresentation
bin111011111010001…
…100001111000101
32121001021220000012
4323322030033011
54024302011323
6243423000005
733623203322
oct7372141705
92531256005
101005110213
114763a41a8
12240739005
13130309193
14976bbb49
155d390678
hex3be8c3c5

1005110213 has 2 divisors, whose sum is σ = 1005110214. Its totient is φ = 1005110212.

The previous prime is 1005110201. The next prime is 1005110219. The reversal of 1005110213 is 3120115001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593750689 + 411359524 = 24367^2 + 20282^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005110213 - 26 = 1005110149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005110219) 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, 502555106 + 502555107.

It is an arithmetic number, because the mean of its divisors is an integer number (502555107).

Almost surely, 21005110213 is an apocalyptic number.

It is an amenable number.

1005110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005110213 is an equidigital number, since it uses as much as digits as its factorization.

1005110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1005110213 is about 31703.4732008971. The cubic root of 1005110213 is about 1001.7005109567.

Adding to 1005110213 its reverse (3120115001), we get a palindrome (4125225214).

The spelling of 1005110213 in words is "one billion, five million, one hundred ten thousand, two hundred thirteen".