Search a number
-
+
1010459106 = 23256136617
BaseRepresentation
bin111100001110100…
…110000111100010
32121102100122022100
4330032212013202
54032134142411
6244133351230
734016521626
oct7416460742
92542318270
101010459106
11479417978
12242498516
1313145c9c7
14982b1186
155da9a456
hex3c3a61e2

1010459106 has 12 divisors (see below), whose sum is σ = 2189328102. Its totient is φ = 336819696.

The previous prime is 1010459081. The next prime is 1010459111. The reversal of 1010459106 is 6019540101.

1010459106 is a `hidden beast` number, since 101 + 0 + 459 + 106 = 666.

1010459106 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., 811395225 + 199063881 = 28485^2 + 14109^2 .

It is a super-3 number, since 3×10104591063 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010459106.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28068291 + ... + 28068326.

Almost surely, 21010459106 is an apocalyptic number.

1010459106 is an abundant number, since it is smaller than the sum of its proper divisors (1178868996).

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

1010459106 is a wasteful number, since it uses less digits than its factorization.

1010459106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56136625 (or 56136622 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1010459106 is about 31787.7194211853. The cubic root of 1010459106 is about 1003.4742840381.

Adding to 1010459106 its reverse (6019540101), we get a palindrome (7029999207).

The spelling of 1010459106 in words is "one billion, ten million, four hundred fifty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 56136617 112273234 168409851 336819702 505229553 1010459106