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4214102129 is a prime number
BaseRepresentation
bin1111101100101110…
…0001100001110001
3101212200120120100122
43323023201201301
532112302232004
61534054500025
7206300164016
oct37313414161
911780516318
104214102129
111872829336
12997364615
135220a5773
142bd96770d
15199e67cbe
hexfb2e1871

4214102129 has 2 divisors, whose sum is σ = 4214102130. Its totient is φ = 4214102128.

The previous prime is 4214102099. The next prime is 4214102173. The reversal of 4214102129 is 9212014124.

4214102129 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., 2136565729 + 2077536400 = 46223^2 + 45580^2 .

It is a cyclic number.

It is not a de Polignac number, because 4214102129 - 212 = 4214098033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4214102098 and 4214102107.

It is not a weakly prime, because it can be changed into another prime (4214102429) 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, 2107051064 + 2107051065.

It is an arithmetic number, because the mean of its divisors is an integer number (2107051065).

Almost surely, 24214102129 is an apocalyptic number.

It is an amenable number.

4214102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4214102129 is an equidigital number, since it uses as much as digits as its factorization.

4214102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4214102129 is about 64916.1160960820. The cubic root of 4214102129 is about 1615.2324048346.

The spelling of 4214102129 in words is "four billion, two hundred fourteen million, one hundred two thousand, one hundred twenty-nine".