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4432103222257 is a prime number
BaseRepresentation
bin100000001111110110111…
…1100000010101111110001
3120200201000220010201211201
41000133231330002233301
51040103421411103012
613232025145411201
7635131435540234
oct100375574025761
916621026121751
104432103222257
11145970a7a7007
125b6b7a499b01
13261c3a477579
1411472cdd541b
157a450e7e857
hex407edf02bf1

4432103222257 has 2 divisors, whose sum is σ = 4432103222258. Its totient is φ = 4432103222256.

The previous prime is 4432103222189. The next prime is 4432103222357. The reversal of 4432103222257 is 7522223012344.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4401104690161 + 30998532096 = 2097881^2 + 176064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4432103222257 is a prime.

It is not a weakly prime, because it can be changed into another prime (4432103222357) 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, 2216051611128 + 2216051611129.

It is an arithmetic number, because the mean of its divisors is an integer number (2216051611129).

Almost surely, 24432103222257 is an apocalyptic number.

It is an amenable number.

4432103222257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4432103222257 is an equidigital number, since it uses as much as digits as its factorization.

4432103222257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 4432103222257 in words is "four trillion, four hundred thirty-two billion, one hundred three million, two hundred twenty-two thousand, two hundred fifty-seven".