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213003111001 is a prime number
BaseRepresentation
bin1100011001011111111…
…0011000101001011001
3202100210112221011110011
43012113332120221121
511442212244023001
6241504031521521
721250262366422
oct3062776305131
9670715834404
10213003111001
1182374780a2a
12353463892a1
131711723cbb5
14a44901a649
155819cdcd51
hex3197f98a59

213003111001 has 2 divisors, whose sum is σ = 213003111002. Its totient is φ = 213003111000.

The previous prime is 213003110981. The next prime is 213003111023. The reversal of 213003111001 is 100111300312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118732619776 + 94270491225 = 344576^2 + 307035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213003111001 is a prime.

It is a super-2 number, since 2×2130031110012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213003111031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501555500 + 106501555501.

It is an arithmetic number, because the mean of its divisors is an integer number (106501555501).

Almost surely, 2213003111001 is an apocalyptic number.

It is an amenable number.

213003111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003111001 is an equidigital number, since it uses as much as digits as its factorization.

213003111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 213003111001 its reverse (100111300312), we get a palindrome (313114411313).

The spelling of 213003111001 in words is "two hundred thirteen billion, three million, one hundred eleven thousand, one".