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11300034024 = 2332805319489
BaseRepresentation
bin10101000011000100…
…01101010111101000
31002011112000012112200
422201202031113220
5141120302042044
65105142540200
7550011463416
oct124142152750
932145005480
1011300034024
1148796358a4
122234437660
1310b1137a86
14792a922b6
154620a8369
hex2a188d5e8

11300034024 has 48 divisors (see below), whose sum is σ = 30609629700. Its totient is φ = 3766017024.

The previous prime is 11300034019. The next prime is 11300034041. The reversal of 11300034024 is 42043000311.

11300034024 is a `hidden beast` number, since 1 + 1 + 300 + 0 + 340 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10930702500 + 369331524 = 104550^2 + 19218^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11300033988 and 11300034006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570072 + ... + 589560.

Almost surely, 211300034024 is an apocalyptic number.

It is an amenable number.

11300034024 is an abundant number, since it is smaller than the sum of its proper divisors (19309595676).

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

11300034024 is a wasteful number, since it uses less digits than its factorization.

11300034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11300034024 its reverse (42043000311), we get a palindrome (53343034335).

The spelling of 11300034024 in words is "eleven billion, three hundred million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8053 16106 19489 24159 32212 38978 48318 58467 64424 72477 77956 96636 116934 144954 155912 175401 193272 233868 289908 350802 467736 579816 701604 1403208 156944917 313889834 470834751 627779668 941669502 1255559336 1412504253 1883339004 2825008506 3766678008 5650017012 11300034024