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4100216441 is a prime number
BaseRepresentation
bin1111010001100100…
…0101011001111001
3101120202021120120012
43310121011121321
531344123411231
61514505511305
7203415156536
oct36431053171
911522246505
104100216441
111814513332
129651a2535
1350460c899
142ac79dd8d
1518ee6de2b
hexf4645679

4100216441 has 2 divisors, whose sum is σ = 4100216442. Its totient is φ = 4100216440.

The previous prime is 4100216437. The next prime is 4100216447. The reversal of 4100216441 is 1446120014.

It is a happy number.

4100216441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2265379216 + 1834837225 = 47596^2 + 42835^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100216441 - 22 = 4100216437 is a prime.

It is not a weakly prime, because it can be changed into another prime (4100216447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050108220 + 2050108221.

It is an arithmetic number, because the mean of its divisors is an integer number (2050108221).

Almost surely, 24100216441 is an apocalyptic number.

It is an amenable number.

4100216441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100216441 is an equidigital number, since it uses as much as digits as its factorization.

4100216441 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.

The square root of 4100216441 is about 64032.9324722834. The cubic root of 4100216441 is about 1600.5488274764.

Adding to 4100216441 its reverse (1446120014), we get a palindrome (5546336455).

The spelling of 4100216441 in words is "four billion, one hundred million, two hundred sixteen thousand, four hundred forty-one".