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344041004001031 is a prime number
BaseRepresentation
bin100111000111001110100100…
…1110101001110011100000111
31200010010222222002211101002121
41032032131021311032130013
5330043231434011013111
63215414131052350411
7132316066542024361
oct11616351165163407
91603128862741077
10344041004001031
119a692a746a0017
1232705550175407
13119c7c098588bc
1460d595dccbd31
1529b946923e871
hex138e749d4e707

344041004001031 has 2 divisors, whose sum is σ = 344041004001032. Its totient is φ = 344041004001030.

The previous prime is 344041004001011. The next prime is 344041004001119. The reversal of 344041004001031 is 130100400140443.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 344041004001031 - 223 = 344040995612423 is a prime.

It is a super-3 number, since 3×3440410040010313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 344041004000987 and 344041004001005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (344041004001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172020502000515 + 172020502000516.

It is an arithmetic number, because the mean of its divisors is an integer number (172020502000516).

Almost surely, 2344041004001031 is an apocalyptic number.

344041004001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

344041004001031 is an equidigital number, since it uses as much as digits as its factorization.

344041004001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 344041004001031 its reverse (130100400140443), we get a palindrome (474141404141474).

The spelling of 344041004001031 in words is "three hundred forty-four trillion, forty-one billion, four million, one thousand, thirty-one".