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101303211301 is a prime number
BaseRepresentation
bin101111001011000100…
…1000101010100100101
3100200110222212100001221
41132112021011110211
53124432110230201
6114312115220341
710214250042235
oct1362611052445
9320428770057
10101303211301
1139a65027036
12177722a76b1
1397258002a6
144c90179cc5
15297d8614a1
hex1796245525

101303211301 has 2 divisors, whose sum is σ = 101303211302. Its totient is φ = 101303211300.

The previous prime is 101303211277. The next prime is 101303211311. The reversal of 101303211301 is 103112303101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81695930625 + 19607280676 = 285825^2 + 140026^2 .

It is an emirp because it is prime and its reverse (103112303101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101303211301 - 213 = 101303203109 is a prime.

It is a super-2 number, since 2×1013032113012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101303211311) 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, 50651605650 + 50651605651.

It is an arithmetic number, because the mean of its divisors is an integer number (50651605651).

Almost surely, 2101303211301 is an apocalyptic number.

It is an amenable number.

101303211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303211301 is an equidigital number, since it uses as much as digits as its factorization.

101303211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101303211301 its reverse (103112303101), we get a palindrome (204415514402).

The spelling of 101303211301 in words is "one hundred one billion, three hundred three million, two hundred eleven thousand, three hundred one".