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3011000017 is a prime number
BaseRepresentation
bin1011001101111000…
…0011011011010001
321202211201122112011
42303132003123101
522131304000032
61214440102521
7134421035464
oct26336033321
97684648464
103011000017
1113056a3973
12700464a41
1338ca6631c
14207c6b2db
15129518247
hexb37836d1

3011000017 has 2 divisors, whose sum is σ = 3011000018. Its totient is φ = 3011000016.

The previous prime is 3011000011. The next prime is 3011000039. The reversal of 3011000017 is 7100001103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2516426896 + 494573121 = 50164^2 + 22239^2 .

It is a cyclic number.

It is not a de Polignac number, because 3011000017 - 215 = 3010967249 is a prime.

It is a super-2 number, since 2×30110000172 = 18132242204748000578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3010999970 and 3011000006.

It is not a weakly prime, because it can be changed into another prime (3011000011) 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, 1505500008 + 1505500009.

It is an arithmetic number, because the mean of its divisors is an integer number (1505500009).

Almost surely, 23011000017 is an apocalyptic number.

It is an amenable number.

3011000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011000017 is an equidigital number, since it uses as much as digits as its factorization.

3011000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 3011000017 is about 54872.5798281801. The cubic root of 3011000017 is about 1444.0101724063.

The spelling of 3011000017 in words is "three billion, eleven million, seventeen", and thus it is an aban number and an uban number.