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213120000019 is a prime number
BaseRepresentation
bin1100011001111011110…
…0010010000000010011
3202101002200212202001001
43012132330102000103
511442432210000034
6241523405122431
721253212052633
oct3063674220023
9671080782031
10213120000019
1182424758423
1235379559417
1317135517ab4
14a45a7666c3
1558251cba14
hex319ef12013

213120000019 has 2 divisors, whose sum is σ = 213120000020. Its totient is φ = 213120000018.

The previous prime is 213119999947. The next prime is 213120000043. The reversal of 213120000019 is 910000021312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213120000019 - 27 = 213119999891 is a prime.

It is a super-2 number, since 2×2131200000192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213119999960 and 213120000005.

It is not a weakly prime, because it can be changed into another prime (213120000419) 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, 106560000009 + 106560000010.

It is an arithmetic number, because the mean of its divisors is an integer number (106560000010).

Almost surely, 2213120000019 is an apocalyptic number.

213120000019 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120000019 is an equidigital number, since it uses as much as digits as its factorization.

213120000019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 213120000019 in words is "two hundred thirteen billion, one hundred twenty million, nineteen", and thus it is an aban number.