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2006414021 is a prime number
BaseRepresentation
bin111011110010111…
…0111001011000101
312011211102101121102
41313211313023011
513102120222041
6531032225445
7100502144363
oct16745671305
95154371542
102006414021
1193a628607
1247bb3b285
1325c8b1941
14150688633
15bb22d09b
hex779772c5

2006414021 has 2 divisors, whose sum is σ = 2006414022. Its totient is φ = 2006414020.

The previous prime is 2006414017. The next prime is 2006414077. The reversal of 2006414021 is 1204146002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986930625 + 19483396 = 44575^2 + 4414^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006414021 - 22 = 2006414017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2006413984 and 2006414002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2006414621) 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, 1003207010 + 1003207011.

It is an arithmetic number, because the mean of its divisors is an integer number (1003207011).

Almost surely, 22006414021 is an apocalyptic number.

It is an amenable number.

2006414021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006414021 is an equidigital number, since it uses as much as digits as its factorization.

2006414021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2006414021 is about 44793.0130823994. The cubic root of 2006414021 is about 1261.2664726686.

The spelling of 2006414021 in words is "two billion, six million, four hundred fourteen thousand, twenty-one".