Search a number
-
+
1033142105 = 51712154613
BaseRepresentation
bin111101100101000…
…111111101011001
32200000001001112102
4331211013331121
54103441021410
6250303453145
734413364052
oct7545077531
92600031472
101033142105
114901aaa56
12249bb71b5
131360723b8
149b2d7729
1560a7b2a5
hex3d947f59

1033142105 has 8 divisors (see below), whose sum is σ = 1312698312. Its totient is φ = 777895168.

The previous prime is 1033142101. The next prime is 1033142137. The reversal of 1033142105 is 5012413301.

It can be written as a sum of positive squares in 4 ways, for example, as 257185369 + 775956736 = 16037^2 + 27856^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1033142105 - 22 = 1033142101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033142101) 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 in 7 ways as a sum of consecutive naturals, for example, 6077222 + ... + 6077391.

It is an arithmetic number, because the mean of its divisors is an integer number (164087289).

Almost surely, 21033142105 is an apocalyptic number.

It is an amenable number.

1033142105 is a deficient number, since it is larger than the sum of its proper divisors (279556207).

1033142105 is a wasteful number, since it uses less digits than its factorization.

1033142105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154635.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1033142105 is about 32142.5279808543. The cubic root of 1033142105 is about 1010.9275226280.

Adding to 1033142105 its reverse (5012413301), we get a palindrome (6045555406).

The spelling of 1033142105 in words is "one billion, thirty-three million, one hundred forty-two thousand, one hundred five".

Divisors: 1 5 17 85 12154613 60773065 206628421 1033142105