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100000103212213 is a prime number
BaseRepresentation
bin10110101111001100010110…
…101000010010010010110101
3111010001220202010112020211021
4112233030112220102102311
5101101400202410242323
6552403225130541141
730030524531343421
oct2657142650222265
9433056663466737
10100000103212213
11299548952a2026
12b2708342977b1
1343a4c7a642869
141a9a0607dbb81
15b863738ab05d
hex5af316a124b5

100000103212213 has 2 divisors, whose sum is σ = 100000103212214. Its totient is φ = 100000103212212.

The previous prime is 100000103212187. The next prime is 100000103212267. The reversal of 100000103212213 is 312212301000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90881768775249 + 9118334436964 = 9533193^2 + 3019658^2 .

It is an emirp because it is prime and its reverse (312212301000001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100000103212213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000103212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000051606106 + 50000051606107.

It is an arithmetic number, because the mean of its divisors is an integer number (50000051606107).

Almost surely, 2100000103212213 is an apocalyptic number.

It is an amenable number.

100000103212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000103212213 is an equidigital number, since it uses as much as digits as its factorization.

100000103212213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100000103212213 its reverse (312212301000001), we get a palindrome (412212404212214).

The spelling of 100000103212213 in words is "one hundred trillion, one hundred three million, two hundred twelve thousand, two hundred thirteen".