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4202044001009 is a prime number
BaseRepresentation
bin111101001001011101010…
…101110000101011110001
3112212201012200010101200122
4331021131111300223301
51022321241231013014
612534220430100025
7612405365452541
oct75113525605361
915781180111618
104202044001009
111380093322aa8
1257a47404a615
1324633572995a
14107546a91321
1574488ad458e
hex3d25d570af1

4202044001009 has 2 divisors, whose sum is σ = 4202044001010. Its totient is φ = 4202044001008.

The previous prime is 4202044000991. The next prime is 4202044001033. The reversal of 4202044001009 is 9001004402024.

4202044001009 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., 2895537850384 + 1306506150625 = 1701628^2 + 1143025^2 .

It is a cyclic number.

It is not a de Polignac number, because 4202044001009 - 216 = 4202043935473 is a prime.

It is a super-4 number, since 4×42020440010094 (a number of 52 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (4202044001809) 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, 2101022000504 + 2101022000505.

It is an arithmetic number, because the mean of its divisors is an integer number (2101022000505).

Almost surely, 24202044001009 is an apocalyptic number.

It is an amenable number.

4202044001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4202044001009 is an equidigital number, since it uses as much as digits as its factorization.

4202044001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 4202044001009 in words is "four trillion, two hundred two billion, forty-four million, one thousand, nine".