Search a number
-
+
1016330133 = 371331120091
BaseRepresentation
bin111100100100111…
…111011110010101
32121211101220211210
4330210333132111
54040140031013
6244503252033
734120443420
oct7444773625
92554356753
101016330133
11481767965
1224444a019
131327370a0
1498d9c9b7
155e359cc3
hex3c93f795

1016330133 has 32 divisors (see below), whose sum is σ = 1721638912. Its totient is φ = 518788800.

The previous prime is 1016330011. The next prime is 1016330137. The reversal of 1016330133 is 3310336101.

It is not a de Polignac number, because 1016330133 - 28 = 1016329877 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016330137) 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 31 ways as a sum of consecutive naturals, for example, 51583 + ... + 68508.

It is an arithmetic number, because the mean of its divisors is an integer number (53801216).

Almost surely, 21016330133 is an apocalyptic number.

1016330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1016330133 is a deficient number, since it is larger than the sum of its proper divisors (705308779).

1016330133 is a wasteful number, since it uses less digits than its factorization.

1016330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120145.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 1016330133 is about 31879.9330770941. The cubic root of 1016330133 is about 1005.4140132297.

Adding to 1016330133 its reverse (3310336101), we get a palindrome (4326666234).

The spelling of 1016330133 in words is "one billion, sixteen million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 2821 8463 120091 360273 840637 1561183 2521911 3722821 4683549 10928281 11168463 26059747 32784843 48396673 78179241 145190019 338776711 1016330133