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110100111100141 is a prime number
BaseRepresentation
bin11001000010001010101110…
…000000110000100011101101
3112102211110122001020121002211
4121002022232000300203231
5103412340011420201031
61030055143124050421
732122320251031301
oct3102125600604355
9472743561217084
10110100111100141
1132099216459498
1210422180533a11
13495851bb0cc16
141d28c33a41d01
15cade53595bb1
hex6422ae0308ed

110100111100141 has 2 divisors, whose sum is σ = 110100111100142. Its totient is φ = 110100111100140.

The previous prime is 110100111100081. The next prime is 110100111100151. The reversal of 110100111100141 is 141001111001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56531676750025 + 53568434350116 = 7518755^2 + 7319046^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100111100141 - 27 = 110100111100013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100111100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050055550070 + 55050055550071.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055550071).

Almost surely, 2110100111100141 is an apocalyptic number.

It is an amenable number.

110100111100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111100141 is an equidigital number, since it uses as much as digits as its factorization.

110100111100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110100111100141 its reverse (141001111001011), we get a palindrome (251101222101152).

The spelling of 110100111100141 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred forty-one".