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105231133181 is a prime number
BaseRepresentation
bin110001000000001000…
…0111010100111111101
3101001121201221102221002
41202000100322213331
53211003132230211
6120201552220045
710413503605436
oct1420020724775
9331551842832
10105231133181
11406a025a969
121848983a625
139c00506315
145143aca48d
152b0d5ea03b
hex188043a9fd

105231133181 has 2 divisors, whose sum is σ = 105231133182. Its totient is φ = 105231133180.

The previous prime is 105231133159. The next prime is 105231133213. The reversal of 105231133181 is 181331132501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57763796281 + 47467336900 = 240341^2 + 217870^2 .

It is a cyclic number.

It is not a de Polignac number, because 105231133181 - 210 = 105231132157 is a prime.

It is a super-2 number, since 2×1052311331812 (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 (105231133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52615566590 + 52615566591.

It is an arithmetic number, because the mean of its divisors is an integer number (52615566591).

Almost surely, 2105231133181 is an apocalyptic number.

It is an amenable number.

105231133181 is a deficient number, since it is larger than the sum of its proper divisors (1).

105231133181 is an equidigital number, since it uses as much as digits as its factorization.

105231133181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

Adding to 105231133181 its reverse (181331132501), we get a palindrome (286562265682).

The spelling of 105231133181 in words is "one hundred five billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred eighty-one".