Search a number
-
+
1030306116 = 2237103119083
BaseRepresentation
bin111101011010010…
…011100101000100
32122210200222021210
4331122103211010
54102224243431
6250123011420
734350312630
oct7532234504
92583628253
101030306116
11489643264
12249069b70
131355bb5b8
149ab99dc0
15606bad46
hex3d693944

1030306116 has 48 divisors (see below), whose sum is σ = 2774180864. Its totient is φ = 291512736.

The previous prime is 1030306099. The next prime is 1030306117. The reversal of 1030306116 is 6116030301.

1030306116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1030306092 and 1030306101.

It is not an unprimeable number, because it can be changed into a prime (1030306117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50890 + ... + 68193.

Almost surely, 21030306116 is an apocalyptic number.

It is an amenable number.

1030306116 is an abundant number, since it is smaller than the sum of its proper divisors (1743874748).

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

1030306116 is a wasteful number, since it uses less digits than its factorization.

1030306116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119200 (or 119198 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1030306116 is about 32098.3818283726. The cubic root of 1030306116 is about 1010.0016717288.

Adding to 1030306116 its reverse (6116030301), we get a palindrome (7146336417).

The spelling of 1030306116 in words is "one billion, thirty million, three hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 8652 119083 238166 357249 476332 714498 833581 1428996 1667162 2500743 3334324 5001486 10002972 12265549 24531098 36796647 49062196 73593294 85858843 147186588 171717686 257576529 343435372 515153058 1030306116