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3101312103041 is a prime number
BaseRepresentation
bin101101001000010100100…
…110110011001010000001
3101222111000202212100200202
4231020110212303022001
5401302441344244131
610332420105254545
7440030255631635
oct55102446631201
911874022770622
103101312103041
11a96293916259
1242107b194455
131965b6124479
14aa166308dc5
1555a13c5ebcb
hex2d2149b3281

3101312103041 has 2 divisors, whose sum is σ = 3101312103042. Its totient is φ = 3101312103040.

The previous prime is 3101312103017. The next prime is 3101312103061. The reversal of 3101312103041 is 1403012131013.

It is an a-pointer prime, because the next prime (3101312103061) can be obtained adding 3101312103041 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2291529888400 + 809782214641 = 1513780^2 + 899879^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101312103041 - 210 = 3101312102017 is a prime.

It is not a weakly prime, because it can be changed into another prime (3101312103061) 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, 1550656051520 + 1550656051521.

It is an arithmetic number, because the mean of its divisors is an integer number (1550656051521).

Almost surely, 23101312103041 is an apocalyptic number.

It is an amenable number.

3101312103041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101312103041 is an equidigital number, since it uses as much as digits as its factorization.

3101312103041 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 20.

Adding to 3101312103041 its reverse (1403012131013), we get a palindrome (4504324234054).

The spelling of 3101312103041 in words is "three trillion, one hundred one billion, three hundred twelve million, one hundred three thousand, forty-one".