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105204486113 is a prime number
BaseRepresentation
bin110000111111010101…
…1010000111111100001
3101001112212210122000122
41201332223100333201
53210424322023423
6120155201130025
710413031243256
oct1417653207741
9331485718018
10105204486113
114068720a5a1
1218480929915
139bc7b3651c
14514035142d
152b0b0d48c8
hex187ead0fe1

105204486113 has 2 divisors, whose sum is σ = 105204486114. Its totient is φ = 105204486112.

The previous prime is 105204486083. The next prime is 105204486143. The reversal of 105204486113 is 311684402501.

It is a balanced prime because it is at equal distance from previous prime (105204486083) and next prime (105204486143).

It can be written as a sum of positive squares in only one way, i.e., 103074386704 + 2130099409 = 321052^2 + 46153^2 .

It is an emirp because it is prime and its reverse (311684402501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105204486113 - 212 = 105204482017 is a prime.

It is a super-2 number, since 2×1052044861132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105204486143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602243056 + 52602243057.

It is an arithmetic number, because the mean of its divisors is an integer number (52602243057).

Almost surely, 2105204486113 is an apocalyptic number.

It is an amenable number.

105204486113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204486113 is an equidigital number, since it uses as much as digits as its factorization.

105204486113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

Adding to 105204486113 its reverse (311684402501), we get a palindrome (416888888614).

The spelling of 105204486113 in words is "one hundred five billion, two hundred four million, four hundred eighty-six thousand, one hundred thirteen".