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10211321137 is a prime number
BaseRepresentation
bin10011000001010010…
…00110010100110001
3222100122101212020011
421200221012110301
5131403044234022
64405132014521
7511021540363
oct114051062461
928318355204
1010211321137
11437002a786
121b8b901441
13c69709774
146cc250d33
153eb701977
hex260a46531

10211321137 has 2 divisors, whose sum is σ = 10211321138. Its totient is φ = 10211321136.

The previous prime is 10211321123. The next prime is 10211321171. The reversal of 10211321137 is 73112311201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10202818081 + 8503056 = 101009^2 + 2916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10211321137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211321177) 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, 5105660568 + 5105660569.

It is an arithmetic number, because the mean of its divisors is an integer number (5105660569).

Almost surely, 210211321137 is an apocalyptic number.

It is an amenable number.

10211321137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211321137 is an equidigital number, since it uses as much as digits as its factorization.

10211321137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10211321137 its reverse (73112311201), we get a palindrome (83323632338).

The spelling of 10211321137 in words is "ten billion, two hundred eleven million, three hundred twenty-one thousand, one hundred thirty-seven".