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105013405271 is a prime number
BaseRepresentation
bin110000111001101001…
…0010110011001010111
3101001001120020201101102
41201303102112121113
53210031412432041
6120124213420315
710405221134255
oct1416322263127
9331046221342
10105013405271
1140599369745
121842893a69b
139b97382b38
145122c115d5
152ae943d09b
hex1873496657

105013405271 has 2 divisors, whose sum is σ = 105013405272. Its totient is φ = 105013405270.

The previous prime is 105013405249. The next prime is 105013405349. The reversal of 105013405271 is 172504310501.

It is a weak prime.

It is an emirp because it is prime and its reverse (172504310501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105013405271 - 26 = 105013405207 is a prime.

It is a super-2 number, since 2×1050134052712 (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 (105013405201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52506702635 + 52506702636.

It is an arithmetic number, because the mean of its divisors is an integer number (52506702636).

Almost surely, 2105013405271 is an apocalyptic number.

105013405271 is a deficient number, since it is larger than the sum of its proper divisors (1).

105013405271 is an equidigital number, since it uses as much as digits as its factorization.

105013405271 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

Adding to 105013405271 its reverse (172504310501), we get a palindrome (277517715772).

The spelling of 105013405271 in words is "one hundred five billion, thirteen million, four hundred five thousand, two hundred seventy-one".