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3002213101 is a prime number
BaseRepresentation
bin1011001011110010…
…0010001011101101
321202020012020010211
42302330202023231
522122031304401
61213523502421
7134253250606
oct26274421355
97666166124
103002213101
111300742158
126b9527a11
1338acaa974
14206a20dad
1512887e951
hexb2f222ed

3002213101 has 2 divisors, whose sum is σ = 3002213102. Its totient is φ = 3002213100.

The previous prime is 3002213099. The next prime is 3002213177. The reversal of 3002213101 is 1013122003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2567448900 + 434764201 = 50670^2 + 20851^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002213101 - 21 = 3002213099 is a prime.

Together with 3002213099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3002213191) 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, 1501106550 + 1501106551.

It is an arithmetic number, because the mean of its divisors is an integer number (1501106551).

Almost surely, 23002213101 is an apocalyptic number.

It is an amenable number.

3002213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002213101 is an equidigital number, since it uses as much as digits as its factorization.

3002213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3002213101 is about 54792.4547816577. The cubic root of 3002213101 is about 1442.6041324644.

Adding to 3002213101 its reverse (1013122003), we get a palindrome (4015335104).

The spelling of 3002213101 in words is "three billion, two million, two hundred thirteen thousand, one hundred one".