Search a number
-
+
1113105006 = 2321319250361
BaseRepresentation
bin100001001011000…
…1010001001101110
32212120111121000100
41002112022021232
54234423330011
6302241411530
736404144046
oct10226121156
92776447010
101113105006
115213562a2
12270939ba6
131497bb920
14a7b90726
1567ac3d56
hex4258a26e

1113105006 has 48 divisors (see below), whose sum is σ = 2733953040. Its totient is φ = 324466560.

The previous prime is 1113105001. The next prime is 1113105017. The reversal of 1113105006 is 6005013111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1113105006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120735 + ... + 129626.

It is an arithmetic number, because the mean of its divisors is an integer number (56957355).

Almost surely, 21113105006 is an apocalyptic number.

1113105006 is an abundant number, since it is smaller than the sum of its proper divisors (1620848034).

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

1113105006 is a wasteful number, since it uses less digits than its factorization.

1113105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250401 (or 250398 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1113105006 is about 33363.2283509855. The cubic root of 1113105006 is about 1036.3633479266.

Adding to 1113105006 its reverse (6005013111), we get a palindrome (7118118117).

The spelling of 1113105006 in words is "one billion, one hundred thirteen million, one hundred five thousand, six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 250361 500722 751083 1502166 2253249 3254693 4506498 4756859 6509386 9513718 9764079 14270577 19528158 28541154 29292237 42811731 58584474 61839167 85623462 123678334 185517501 371035002 556552503 1113105006