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1100011272 = 23345833803
BaseRepresentation
bin100000110010000…
…1101011100001000
32211122212100210020
41001210031130020
54223100330042
6301053020440
736154640643
oct10144153410
92748770706
101100011272
11514a22828
12268484720
13146b85b59
14a6142a5a
15668893ec
hex4190d708

1100011272 has 16 divisors (see below), whose sum is σ = 2750028240. Its totient is φ = 366670416.

The previous prime is 1100011261. The next prime is 1100011273. The reversal of 1100011272 is 2721100011.

It is a super-3 number, since 3×11000112723 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100011273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22916878 + ... + 22916925.

It is an arithmetic number, because the mean of its divisors is an integer number (171876765).

Almost surely, 21100011272 is an apocalyptic number.

1100011272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100011272 is an abundant number, since it is smaller than the sum of its proper divisors (1650016968).

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

1100011272 is a wasteful number, since it uses less digits than its factorization.

1100011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45833812 (or 45833808 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 1100011272 is about 33166.4178349125. The cubic root of 1100011272 is about 1032.2836414629.

Adding to 1100011272 its reverse (2721100011), we get a palindrome (3821111283).

It can be divided in two parts, 1100011 and 272, that multiplied together give a palindrome (299202992).

The spelling of 1100011272 in words is "one billion, one hundred million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 45833803 91667606 137501409 183335212 275002818 366670424 550005636 1100011272