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41404312121 is a prime number
BaseRepresentation
bin100110100011111000…
…111010101000111001
310221212112111222120112
4212203320322220321
51134244000441441
631004302034105
72664015563144
oct464370725071
9127775458515
1041404312121
1116617722577
128036278935
133b9acb0993
14200acc305b
151124e2e4eb
hex9a3e3aa39

41404312121 has 2 divisors, whose sum is σ = 41404312122. Its totient is φ = 41404312120.

The previous prime is 41404312049. The next prime is 41404312123. The reversal of 41404312121 is 12121340414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22864766521 + 18539545600 = 151211^2 + 136160^2 .

It is a cyclic number.

It is not a de Polignac number, because 41404312121 - 218 = 41404049977 is a prime.

Together with 41404312123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (41404312123) 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, 20702156060 + 20702156061.

It is an arithmetic number, because the mean of its divisors is an integer number (20702156061).

Almost surely, 241404312121 is an apocalyptic number.

It is an amenable number.

41404312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

41404312121 is an equidigital number, since it uses as much as digits as its factorization.

41404312121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 41404312121 its reverse (12121340414), we get a palindrome (53525652535).

The spelling of 41404312121 in words is "forty-one billion, four hundred four million, three hundred twelve thousand, one hundred twenty-one".