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19000013 is a prime number
BaseRepresentation
bin100100001111…
…0101011001101
31022202022010012
41020132223031
514331000023
61515123005
7320332424
oct110365315
938668105
1019000013
11a7a7a9a
126443465
133c23216
1427482bb
151a04978
hex121eacd

19000013 has 2 divisors, whose sum is σ = 19000014. Its totient is φ = 19000012.

The previous prime is 18999997. The next prime is 19000027. The reversal of 19000013 is 31000091.

It is an a-pointer prime, because the next prime (19000027) can be obtained adding 19000013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13557124 + 5442889 = 3682^2 + 2333^2 .

It is a cyclic number.

It is not a de Polignac number, because 19000013 - 24 = 18999997 is a prime.

It is a super-2 number, since 2×190000132 = 722000988000338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9500006 + 9500007.

It is an arithmetic number, because the mean of its divisors is an integer number (9500007).

Almost surely, 219000013 is an apocalyptic number.

It is an amenable number.

19000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

19000013 is an equidigital number, since it uses as much as digits as its factorization.

19000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 19000013 is about 4358.9004347427. The cubic root of 19000013 is about 266.8402257305.

The spelling of 19000013 in words is "nineteen million, thirteen", and thus it is an aban number and an uban number.