Search a number
-
+
1003000041 = 32111444449
BaseRepresentation
bin111011110010001…
…001000011101001
32120220022200101200
4323302021003221
54023232000131
6243305434413
733566234241
oct7362110351
92526280350
101003000041
1147519285a
1223ba9ba09
1312ca4a864
14972ccb21
155d0c52e6
hex3bc890e9

1003000041 has 6 divisors (see below), whose sum is σ = 1448777850. Its totient is φ = 668666688.

The previous prime is 1003000027. The next prime is 1003000043. The reversal of 1003000041 is 1400003001.

1003000041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 606193641 + 396806400 = 24621^2 + 19920^2 .

It is not a de Polignac number, because 1003000041 - 211 = 1002997993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111444449 = 1003000041 / (1 + 0 + 0 + 3 + 0 + 0 + 0 + 0 + 4 + 1).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002999987 and 1003000032.

It is not an unprimeable number, because it can be changed into a prime (1003000043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55722216 + ... + 55722233.

It is an arithmetic number, because the mean of its divisors is an integer number (241462975).

Almost surely, 21003000041 is an apocalyptic number.

It is an amenable number.

1003000041 is a deficient number, since it is larger than the sum of its proper divisors (445777809).

1003000041 is a wasteful number, since it uses less digits than its factorization.

1003000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111444455 (or 111444452 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003000041 is about 31670.1758915229. The cubic root of 1003000041 is about 1000.9990153027. Note that the first 3 decimals are identical.

Adding to 1003000041 its reverse (1400003001), we get a palindrome (2403003042).

The spelling of 1003000041 in words is "one billion, three million, forty-one", and thus it is an aban number and an uban number.

Divisors: 1 3 9 111444449 334333347 1003000041