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30101134400041 is a prime number
BaseRepresentation
bin1101101100000011101110…
…11011000101101000101001
310221120122021210220121001011
412312001313123011220221
512421134110401300131
6144004134212223521
76224510112533365
oct666016733055051
9127518253817034
1030101134400041
1196559016a7751
12346197500aba1
1313a46a8c85303
14760c8cd422a5
15372eed8e20b1
hex1b60776c5a29

30101134400041 has 2 divisors, whose sum is σ = 30101134400042. Its totient is φ = 30101134400040.

The previous prime is 30101134400023. The next prime is 30101134400093. The reversal of 30101134400041 is 14000443110103.

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., 26030444816016 + 4070689584025 = 5102004^2 + 2017595^2 .

It is a cyclic number.

It is not a de Polignac number, because 30101134400041 - 213 = 30101134391849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30101134399985 and 30101134400021.

It is not a weakly prime, because it can be changed into another prime (30101134406041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15050567200020 + 15050567200021.

It is an arithmetic number, because the mean of its divisors is an integer number (15050567200021).

Almost surely, 230101134400041 is an apocalyptic number.

It is an amenable number.

30101134400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

30101134400041 is an equidigital number, since it uses as much as digits as its factorization.

30101134400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 30101134400041 its reverse (14000443110103), we get a palindrome (44101577510144).

The spelling of 30101134400041 in words is "thirty trillion, one hundred one billion, one hundred thirty-four million, four hundred thousand, forty-one".