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10101300311 is a prime number
BaseRepresentation
bin10010110100001010…
…11001110001010111
3222001222101020000202
421122011121301113
5131141413102221
64350201531115
7505214431064
oct113205316127
928058336022
1010101300311
114313a14483
121b5aaa3a9b
13c4c997a9b
146bb7b1c6b
153e1c1cd0b
hex25a159c57

10101300311 has 2 divisors, whose sum is σ = 10101300312. Its totient is φ = 10101300310.

The previous prime is 10101300289. The next prime is 10101300337. The reversal of 10101300311 is 11300310101.

It is a happy number.

10101300311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (11300310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101300311 - 26 = 10101300247 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101300292 and 10101300301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101300361) 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, 5050650155 + 5050650156.

It is an arithmetic number, because the mean of its divisors is an integer number (5050650156).

Almost surely, 210101300311 is an apocalyptic number.

10101300311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101300311 is an equidigital number, since it uses as much as digits as its factorization.

10101300311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10101300311 its reverse (11300310101), we get a palindrome (21401610412).

The spelling of 10101300311 in words is "ten billion, one hundred one million, three hundred thousand, three hundred eleven".