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10211211301 is a prime number
BaseRepresentation
bin10011000001010001…
…01011100000100101
3222100122012021120011
421200220223200211
5131403032230201
64405125410221
7511020602224
oct114050534045
928318167504
1010211211301
11436aa65205
121b8b869971
13c6969b785
146cc222cbb
153eb6ce151
hex260a2b825

10211211301 has 2 divisors, whose sum is σ = 10211211302. Its totient is φ = 10211211300.

The previous prime is 10211211299. The next prime is 10211211317. The reversal of 10211211301 is 10311211201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8480568100 + 1730643201 = 92090^2 + 41601^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211301 - 21 = 10211211299 is a prime.

It is a super-3 number, since 3×102112113013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10211211299, 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 (10211211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605650 + 5105605651.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605651).

Almost surely, 210211211301 is an apocalyptic number.

It is an amenable number.

10211211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211301 is an equidigital number, since it uses as much as digits as its factorization.

10211211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10211211301 its reverse (10311211201), we get a palindrome (20522422502).

The spelling of 10211211301 in words is "ten billion, two hundred eleven million, two hundred eleven thousand, three hundred one".