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31066416841 is a prime number
BaseRepresentation
bin11100111011101100…
…111110011011001001
32222012001221111021011
4130323230332123021
51002111000314331
622134405043521
72146566120565
oct347354763311
988161844234
1031066416841
11121a2200869
1260300b65a1
132c112b7b95
141709d246a5
15c1c5793b1
hex73bb3e6c9

31066416841 has 2 divisors, whose sum is σ = 31066416842. Its totient is φ = 31066416840.

The previous prime is 31066416839. The next prime is 31066416851. The reversal of 31066416841 is 14861466013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28608339600 + 2458077241 = 169140^2 + 49579^2 .

It is an emirp because it is prime and its reverse (14861466013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31066416841 - 21 = 31066416839 is a prime.

Together with 31066416839, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 31066416794 and 31066416803.

It is not a weakly prime, because it can be changed into another prime (31066416851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15533208420 + 15533208421.

It is an arithmetic number, because the mean of its divisors is an integer number (15533208421).

Almost surely, 231066416841 is an apocalyptic number.

It is an amenable number.

31066416841 is a deficient number, since it is larger than the sum of its proper divisors (1).

31066416841 is an equidigital number, since it uses as much as digits as its factorization.

31066416841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 31066416841 in words is "thirty-one billion, sixty-six million, four hundred sixteen thousand, eight hundred forty-one".