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4242400422181 is a prime number
BaseRepresentation
bin111101101111000010110…
…001010010100100100101
3120000120101011212000010021
4331233002301102210211
51024001414002002211
613004533140155141
7615334431413245
oct75570261224445
916016334760107
104242400422181
111396212491599
12586257398ab1
1324a0975a2ccc
1410949471bb25
157554ba22771
hex3dbc2c52925

4242400422181 has 2 divisors, whose sum is σ = 4242400422182. Its totient is φ = 4242400422180.

The previous prime is 4242400422179. The next prime is 4242400422341. The reversal of 4242400422181 is 1812240042424.

4242400422181 is digitally balanced in base 2, 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., 4163093413956 + 79307008225 = 2040366^2 + 281615^2 .

It is a cyclic number.

It is not a de Polignac number, because 4242400422181 - 21 = 4242400422179 is a prime.

It is a super-2 number, since 2×42424004221812 (a number of 26 digits) contains 22 as substring.

Together with 4242400422179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4242400422131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2121200211090 + 2121200211091.

It is an arithmetic number, because the mean of its divisors is an integer number (2121200211091).

Almost surely, 24242400422181 is an apocalyptic number.

It is an amenable number.

4242400422181 is a deficient number, since it is larger than the sum of its proper divisors (1).

4242400422181 is an equidigital number, since it uses as much as digits as its factorization.

4242400422181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 34.

The spelling of 4242400422181 in words is "four trillion, two hundred forty-two billion, four hundred million, four hundred twenty-two thousand, one hundred eighty-one".