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331101223310041 is a prime number
BaseRepresentation
bin100101101001000101000001…
…0110011001101001011011001
31121102022222010112120200222021
41023102022002303031023121
5321344230301131410131
63132105445132454441
7126512162654645362
oct11322120263151331
91542288115520867
10331101223310041
11965542708494a8
123117577591a421
1311299932bb5712
145ba9555926b69
152842a816cae11
hex12d2282ccd2d9

331101223310041 has 2 divisors, whose sum is σ = 331101223310042. Its totient is φ = 331101223310040.

The previous prime is 331101223309949. The next prime is 331101223310173. The reversal of 331101223310041 is 140013322101133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165723680903641 + 165377542406400 = 12873371^2 + 12859920^2 .

It is a cyclic number.

It is not a de Polignac number, because 331101223310041 - 215 = 331101223277273 is a prime.

It is a super-2 number, since 2×3311012233100412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331101223309988 and 331101223310015.

It is not a weakly prime, because it can be changed into another prime (331101223317041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165550611655020 + 165550611655021.

It is an arithmetic number, because the mean of its divisors is an integer number (165550611655021).

Almost surely, 2331101223310041 is an apocalyptic number.

It is an amenable number.

331101223310041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331101223310041 is an equidigital number, since it uses as much as digits as its factorization.

331101223310041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 331101223310041 its reverse (140013322101133), we get a palindrome (471114545411174).

The spelling of 331101223310041 in words is "three hundred thirty-one trillion, one hundred one billion, two hundred twenty-three million, three hundred ten thousand, forty-one".