Search a number
-
+
105500057141 is a prime number
BaseRepresentation
bin110001001000001001…
…0110001111000110101
3101002022110222012020202
41202100102301320311
53212031003312031
6120244400210245
710423250455343
oct1422022617065
9332273865222
10105500057141
1140819039476
1218543909985
139c4414341b
14516b6d0993
152b2701b2cb
hex18904b1e35

105500057141 has 2 divisors, whose sum is σ = 105500057142. Its totient is φ = 105500057140.

The previous prime is 105500057137. The next prime is 105500057183. The reversal of 105500057141 is 141750005501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105397622500 + 102434641 = 324650^2 + 10121^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500057141 - 22 = 105500057137 is a prime.

It is a super-2 number, since 2×1055000571412 (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 (105500057101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750028570 + 52750028571.

It is an arithmetic number, because the mean of its divisors is an integer number (52750028571).

Almost surely, 2105500057141 is an apocalyptic number.

It is an amenable number.

105500057141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500057141 is an equidigital number, since it uses as much as digits as its factorization.

105500057141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3500, while the sum is 29.

The spelling of 105500057141 in words is "one hundred five billion, five hundred million, fifty-seven thousand, one hundred forty-one".