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105014252141 is a prime number
BaseRepresentation
bin110000111001101010…
…1100101001001101101
3101001001121211202001222
41201303111211021231
53210032122032031
6120124243513125
710405231262261
oct1416325451155
9331047752058
10105014252141
1140599897a37
12184290887a5
139b975bb446
145122d920a1
152ae9558e7b
hex187356526d

105014252141 has 2 divisors, whose sum is σ = 105014252142. Its totient is φ = 105014252140.

The previous prime is 105014252117. The next prime is 105014252179. The reversal of 105014252141 is 141252410501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104998681225 + 15570916 = 324035^2 + 3946^2 .

It is a cyclic number.

It is not a de Polignac number, because 105014252141 - 214 = 105014235757 is a prime.

It is a super-2 number, since 2×1050142521412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105014252141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105014252111) 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, 52507126070 + 52507126071.

It is an arithmetic number, because the mean of its divisors is an integer number (52507126071).

Almost surely, 2105014252141 is an apocalyptic number.

It is an amenable number.

105014252141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105014252141 is an equidigital number, since it uses as much as digits as its factorization.

105014252141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 105014252141 its reverse (141252410501), we get a palindrome (246266662642).

The spelling of 105014252141 in words is "one hundred five billion, fourteen million, two hundred fifty-two thousand, one hundred forty-one".