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101323310041 is a prime number
BaseRepresentation
bin101111001011101010…
…1110000001111011001
3100200112101200110100201
41132113111300033121
53130002231410131
6114314114102201
710214612632162
oct1362725601731
9320471613321
10101323310041
1139a75404568
1217778b7a961
139729a19635
144c92acc769
1529804d1761
hex17975703d9

101323310041 has 2 divisors, whose sum is σ = 101323310042. Its totient is φ = 101323310040.

The previous prime is 101323310027. The next prime is 101323310057. The reversal of 101323310041 is 140013323101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95110560000 + 6212750041 = 308400^2 + 78821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101323310041 is a prime.

It is a super-2 number, since 2×1013233100412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101323310441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661655020 + 50661655021.

It is an arithmetic number, because the mean of its divisors is an integer number (50661655021).

Almost surely, 2101323310041 is an apocalyptic number.

It is an amenable number.

101323310041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323310041 is an equidigital number, since it uses as much as digits as its factorization.

101323310041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101323310041 its reverse (140013323101), we get a palindrome (241336633142).

The spelling of 101323310041 in words is "one hundred one billion, three hundred twenty-three million, three hundred ten thousand, forty-one".