Search a number
-
+
10212221334641 is a prime number
BaseRepresentation
bin1001010010011011011111…
…0100110011010001110001
31100011021112021010001201112
42110212313310303101301
52314304112130202031
633415232452443105
72102544236050454
oct224466764632161
940137467101645
1010212221334641
113287a84790887
12118b244319495
13591015426251
142743ba3a549b
1512a99b2a862b
hex949b7d33471

10212221334641 has 2 divisors, whose sum is σ = 10212221334642. Its totient is φ = 10212221334640.

The previous prime is 10212221334613. The next prime is 10212221334643. The reversal of 10212221334641 is 14643312221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9696404349025 + 515816985616 = 3113905^2 + 718204^2 .

It is an emirp because it is prime and its reverse (14643312221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212221334641 - 218 = 10212221072497 is a prime.

Together with 10212221334643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212221334598 and 10212221334607.

It is not a weakly prime, because it can be changed into another prime (10212221334643) 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, 5106110667320 + 5106110667321.

It is an arithmetic number, because the mean of its divisors is an integer number (5106110667321).

Almost surely, 210212221334641 is an apocalyptic number.

It is an amenable number.

10212221334641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212221334641 is an equidigital number, since it uses as much as digits as its factorization.

10212221334641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 10212221334641 its reverse (14643312221201), we get a palindrome (24855533555842).

The spelling of 10212221334641 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, three hundred thirty-four thousand, six hundred forty-one".