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4213221400181 is a prime number
BaseRepresentation
bin111101010011110111100…
…100001001111001110101
3112220210001122101002211202
4331103313210021321311
51023012134134301211
612543305512342245
7613252361002253
oct75236744117165
915823048332752
104213221400181
1113848a9707482
125806733a4985
132473c7327411
14107cc733d5d3
15748e001653b
hex3d4f7909e75

4213221400181 has 2 divisors, whose sum is σ = 4213221400182. Its totient is φ = 4213221400180.

The previous prime is 4213221400159. The next prime is 4213221400183. The reversal of 4213221400181 is 1810041223124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4151267701156 + 61953699025 = 2037466^2 + 248905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4213221400181 is a prime.

It is a super-2 number, since 2×42132214001812 (a number of 26 digits) contains 22 as substring.

Together with 4213221400183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4213221400183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2106610700090 + 2106610700091.

It is an arithmetic number, because the mean of its divisors is an integer number (2106610700091).

Almost surely, 24213221400181 is an apocalyptic number.

It is an amenable number.

4213221400181 is a deficient number, since it is larger than the sum of its proper divisors (1).

4213221400181 is an equidigital number, since it uses as much as digits as its factorization.

4213221400181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 4213221400181 in words is "four trillion, two hundred thirteen billion, two hundred twenty-one million, four hundred thousand, one hundred eighty-one".