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100244432081 is a prime number
BaseRepresentation
bin101110101011100001…
…0001010010011010001
3100120202012120210000202
41131113002022103101
53120300033311311
6114015054024545
710146102420323
oct1352702122321
9316665523022
10100244432081
1139571406592
12175177a8155
1395b7352a01
144bcd6cb613
15291a91de3b
hex175708a4d1

100244432081 has 2 divisors, whose sum is σ = 100244432082. Its totient is φ = 100244432080.

The previous prime is 100244432059. The next prime is 100244432107. The reversal of 100244432081 is 180234442001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87610672081 + 12633760000 = 295991^2 + 112400^2 .

It is a cyclic number.

It is not a de Polignac number, because 100244432081 - 230 = 99170690257 is a prime.

It is a super-2 number, since 2×1002444320812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100244432881) 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, 50122216040 + 50122216041.

It is an arithmetic number, because the mean of its divisors is an integer number (50122216041).

Almost surely, 2100244432081 is an apocalyptic number.

It is an amenable number.

100244432081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100244432081 is an equidigital number, since it uses as much as digits as its factorization.

100244432081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 100244432081 its reverse (180234442001), we get a palindrome (280478874082).

The spelling of 100244432081 in words is "one hundred billion, two hundred forty-four million, four hundred thirty-two thousand, eighty-one".