Search a number
-
+
1006001023 is a prime number
BaseRepresentation
bin111011111101100…
…101101101111111
32121002222010222011
4323331211231333
54030014013043
6243454032051
733633603406
oct7375455577
92532863864
101006001023
11476952505
12240aa8627
1313055b7a1
149787063d
155d4b959d
hex3bf65b7f

1006001023 has 2 divisors, whose sum is σ = 1006001024. Its totient is φ = 1006001022.

The previous prime is 1006001021. The next prime is 1006001041. The reversal of 1006001023 is 3201006001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006001023 - 21 = 1006001021 is a prime.

It is a super-3 number, since 3×10060010233 (a number of 28 digits) contains 333 as substring.

Together with 1006001021, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1006000994 and 1006001012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006001021) 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, 503000511 + 503000512.

It is an arithmetic number, because the mean of its divisors is an integer number (503000512).

Almost surely, 21006001023 is an apocalyptic number.

1006001023 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006001023 is an equidigital number, since it uses as much as digits as its factorization.

1006001023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1006001023 is about 31717.5191810457. The cubic root of 1006001023 is about 1001.9963529229.

Adding to 1006001023 its reverse (3201006001), we get a palindrome (4207007024).

The spelling of 1006001023 in words is "one billion, six million, one thousand, twenty-three".