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41031400013 is a prime number
BaseRepresentation
bin100110001101101010…
…010111101001001101
310220220112211002022222
4212031222113221031
51133013014300023
630503301145125
72651540100632
oct461552275115
9126815732288
1041031400013
111644617914a
127b513bb1a5
133b3b964a26
141db3570189
15110231bcc8
hex98da97a4d

41031400013 has 2 divisors, whose sum is σ = 41031400014. Its totient is φ = 41031400012.

The previous prime is 41031400001. The next prime is 41031400031. The reversal of 41031400013 is 31000413014.

Together with next prime (41031400031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40772897929 + 258502084 = 201923^2 + 16078^2 .

It is a cyclic number.

It is not a de Polignac number, because 41031400013 - 26 = 41031399949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41031399964 and 41031400000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41031400213) 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, 20515700006 + 20515700007.

It is an arithmetic number, because the mean of its divisors is an integer number (20515700007).

Almost surely, 241031400013 is an apocalyptic number.

It is an amenable number.

41031400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41031400013 is an equidigital number, since it uses as much as digits as its factorization.

41031400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 41031400013 its reverse (31000413014), we get a palindrome (72031813027).

The spelling of 41031400013 in words is "forty-one billion, thirty-one million, four hundred thousand, thirteen".