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4157122009 is a prime number
BaseRepresentation
bin1111011111001000…
…1010010111011001
3101201201100200022211
43313302022113121
532003210401014
61524301315121
7205005645145
oct36762122731
911651320284
104157122009
111843650327
12980265aa1
13513345211
142b6174225
15194e5ecc4
hexf7c8a5d9

4157122009 has 2 divisors, whose sum is σ = 4157122010. Its totient is φ = 4157122008.

The previous prime is 4157122007. The next prime is 4157122027. The reversal of 4157122009 is 9002217514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3922266384 + 234855625 = 62628^2 + 15325^2 .

It is a cyclic number.

It is not a de Polignac number, because 4157122009 - 21 = 4157122007 is a prime.

Together with 4157122007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4157122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2078561004 + 2078561005.

It is an arithmetic number, because the mean of its divisors is an integer number (2078561005).

Almost surely, 24157122009 is an apocalyptic number.

It is an amenable number.

4157122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4157122009 is an equidigital number, since it uses as much as digits as its factorization.

4157122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 4157122009 is about 64475.7474481684. The cubic root of 4157122009 is about 1607.9193328561.

The spelling of 4157122009 in words is "four billion, one hundred fifty-seven million, one hundred twenty-two thousand, nine".