Search a number
-
+
1033331104 = 25134915059
BaseRepresentation
bin111101100101110…
…110000110100000
32200000101122210101
4331211312012200
54104013043404
6250311512144
734415112061
oct7545660640
92600348711
101033331104
11490319a53
1224a088654
1313610a430
149b346568
1560ab72a4
hex3d9761a0

1033331104 has 48 divisors (see below), whose sum is σ = 2195756640. Its totient is φ = 475856640.

The previous prime is 1033331083. The next prime is 1033331113. The reversal of 1033331104 is 4011333301.

1033331104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201727 + ... + 206785.

It is an arithmetic number, because the mean of its divisors is an integer number (45744930).

Almost surely, 21033331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097878320).

1033331104 is an abundant number, since it is smaller than the sum of its proper divisors (1162425536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1033331104 is a wasteful number, since it uses less digits than its factorization.

1033331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1033331104 is about 32145.4678609598. The cubic root of 1033331104 is about 1010.9891639196.

Adding to 1033331104 its reverse (4011333301), we get a palindrome (5044664405).

The spelling of 1033331104 in words is "one billion, thirty-three million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 491 982 1964 3928 5059 6383 7856 10118 12766 15712 20236 25532 40472 51064 65767 80944 102128 131534 161888 204256 263068 526136 1052272 2104544 2483969 4967938 9935876 19871752 32291597 39743504 64583194 79487008 129166388 258332776 516665552 1033331104