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1105035012 = 2232228113457
BaseRepresentation
bin100000111011101…
…0111111100000100
32212000022121001200
41001313113330010
54230342110022
6301352422500
736245433264
oct10167277404
92760277050
101105035012
11517844184
1226a0a7a30
13147c24693
14a6a8d7a4
156702cbac
hex41dd7f04

1105035012 has 36 divisors (see below), whose sum is σ = 2794715196. Its totient is φ = 368156160.

The previous prime is 1105035011. The next prime is 1105035017. The reversal of 1105035012 is 2105305011.

1105035012 is a `hidden beast` number, since 110 + 50 + 3 + 501 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 974938176 + 130096836 = 31224^2 + 11406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11050350122 = 2442204755491680288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1105035011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75388 + ... + 88844.

Almost surely, 21105035012 is an apocalyptic number.

1105035012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1105035012 is an abundant number, since it is smaller than the sum of its proper divisors (1689680184).

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

1105035012 is a wasteful number, since it uses less digits than its factorization.

1105035012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15748 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1105035012 is about 33242.0669032478. The cubic root of 1105035012 is about 1033.8527314152.

The spelling of 1105035012 in words is "one billion, one hundred five million, thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2281 4562 6843 9124 13457 13686 20529 26914 27372 40371 41058 53828 80742 82116 121113 161484 242226 484452 30695417 61390834 92086251 122781668 184172502 276258753 368345004 552517506 1105035012