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101344141013 is a prime number
BaseRepresentation
bin101111001100010010…
…1001101111011010101
3100200120211212210002012
41132120211031323111
53130023100003023
6114320140354005
710215254661653
oct1363045157325
9320524783065
10101344141013
1139a86142145
1217783b45905
13973113105b
144c95791dd3
152982248978
hex179894ded5

101344141013 has 2 divisors, whose sum is σ = 101344141014. Its totient is φ = 101344141012.

The previous prime is 101344140991. The next prime is 101344141039. The reversal of 101344141013 is 310141443101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67437337969 + 33906803044 = 259687^2 + 184138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101344141013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101344141013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101344141813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50672070506 + 50672070507.

It is an arithmetic number, because the mean of its divisors is an integer number (50672070507).

Almost surely, 2101344141013 is an apocalyptic number.

It is an amenable number.

101344141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101344141013 is an equidigital number, since it uses as much as digits as its factorization.

101344141013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101344141013 its reverse (310141443101), we get a palindrome (411485584114).

The spelling of 101344141013 in words is "one hundred one billion, three hundred forty-four million, one hundred forty-one thousand, thirteen".