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11105606007 = 34643213229
BaseRepresentation
bin10100101011111001…
…00001100101110111
31001122222011020110000
422111330201211313
5140221013343012
65033555402343
7542131044036
oct122574414567
931588136400
1011105606007
114789909191
12219b2b33b3
13107ca81a02
14774d2071d
1544ee9eddc
hex295f21977

11105606007 has 20 divisors (see below), whose sum is σ = 16615734520. Its totient is φ = 7392188304.

The previous prime is 11105606003. The next prime is 11105606023. The reversal of 11105606007 is 70060650111.

11105606007 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 56 + 0 + 600 + 7 = 666.

It is not a de Polignac number, because 11105606007 - 22 = 11105606003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105606003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54532 + ... + 158697.

It is an arithmetic number, because the mean of its divisors is an integer number (830786726).

Almost surely, 211105606007 is an apocalyptic number.

11105606007 is a deficient number, since it is larger than the sum of its proper divisors (5510128513).

11105606007 is an equidigital number, since it uses as much as digits as its factorization.

11105606007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213884 (or 213875 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11105606007 in words is "eleven billion, one hundred five million, six hundred six thousand, seven".

Divisors: 1 3 9 27 81 643 1929 5787 17361 52083 213229 639687 1919061 5757183 17271549 137106247 411318741 1233956223 3701868669 11105606007