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10010010110213 is a prime number
BaseRepresentation
bin1001000110101010001100…
…0110001100100100000101
31022102221120211000112120002
42101222203012030210011
52303001000042011323
633142311332251045
72052125245025141
oct221524306144405
938387524015502
1010010010110213
11320a248823a83
121158010170a85
13577c2ac75769
142686b6764221
151255b3b4b828
hex91aa318c905

10010010110213 has 2 divisors, whose sum is σ = 10010010110214. Its totient is φ = 10010010110212.

The previous prime is 10010010110137. The next prime is 10010010110237. The reversal of 10010010110213 is 31201101001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9906775135009 + 103234975204 = 3147503^2 + 321302^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010110213 - 222 = 10010005915909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010010110194 and 10010010110203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010010110713) 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, 5005005055106 + 5005005055107.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005055107).

Almost surely, 210010010110213 is an apocalyptic number.

It is an amenable number.

10010010110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010110213 is an equidigital number, since it uses as much as digits as its factorization.

10010010110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10010010110213 its reverse (31201101001001), we get a palindrome (41211111111214).

The spelling of 10010010110213 in words is "ten trillion, ten billion, ten million, one hundred ten thousand, two hundred thirteen".