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3112010010301 is a prime number
BaseRepresentation
bin101101010010010010010…
…000000100111010111101
3102000111122022212100121011
4231102102100010322331
5401441344030312201
610341345422435221
7440556336430633
oct55222220047275
912014568770534
103112010010301
11a9a883580325
12423165a32b11
131975cc59a5ca
14aa89d01d353
1555e3d02a151
hex2d492404ebd

3112010010301 has 2 divisors, whose sum is σ = 3112010010302. Its totient is φ = 3112010010300.

The previous prime is 3112010010299. The next prime is 3112010010313. The reversal of 3112010010301 is 1030100102113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2402186910201 + 709823100100 = 1549899^2 + 842510^2 .

It is an emirp because it is prime and its reverse (1030100102113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3112010010301 - 21 = 3112010010299 is a prime.

It is a super-2 number, since 2×31120100103012 (a number of 26 digits) contains 22 as substring.

Together with 3112010010299, 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 (3112010010391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556005005150 + 1556005005151.

It is an arithmetic number, because the mean of its divisors is an integer number (1556005005151).

Almost surely, 23112010010301 is an apocalyptic number.

It is an amenable number.

3112010010301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112010010301 is an equidigital number, since it uses as much as digits as its factorization.

3112010010301 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 3112010010301 its reverse (1030100102113), we get a palindrome (4142110112414).

The spelling of 3112010010301 in words is "three trillion, one hundred twelve billion, ten million, ten thousand, three hundred one".