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4141211104229 is a prime number
BaseRepresentation
bin111100010000110011011…
…010101011001111100101
3112122220012010022001100112
4330100303122223033211
51020322200020313404
612450240210022405
7605123033406413
oct74206332531745
915586163261315
104141211104229
1113573067862a1
1256a717277a05
1324068c56c244
1410461574c2b3
1572ac81ac56e
hex3c4336ab3e5

4141211104229 has 2 divisors, whose sum is σ = 4141211104230. Its totient is φ = 4141211104228.

The previous prime is 4141211104171. The next prime is 4141211104237. The reversal of 4141211104229 is 9224011121414.

4141211104229 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3846364276225 + 294846828004 = 1961215^2 + 542998^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141211104229 - 28 = 4141211103973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4141211104195 and 4141211104204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4141211104729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070605552114 + 2070605552115.

It is an arithmetic number, because the mean of its divisors is an integer number (2070605552115).

Almost surely, 24141211104229 is an apocalyptic number.

It is an amenable number.

4141211104229 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141211104229 is an equidigital number, since it uses as much as digits as its factorization.

4141211104229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 4141211104229 in words is "four trillion, one hundred forty-one billion, two hundred eleven million, one hundred four thousand, two hundred twenty-nine".