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11112002111120 = 245148993284101
BaseRepresentation
bin1010000110110011011011…
…1100000100011010010000
31110100022000112101102211012
42201230312330010122100
52424024340020023440
635344441105310052
72224546525340411
oct241546674043220
943308015342735
1011112002111120
1135a4634558809
1212b56b7035328
13627b1b6571a1
142a5b76603808
151440ae42ee65
hexa1b36f04690

11112002111120 has 40 divisors (see below), whose sum is σ = 25852756028280. Its totient is φ = 4441815705600.

The previous prime is 11112002111113. The next prime is 11112002111129. The reversal of 11112002111120 is 2111120021111.

It can be written as a sum of positive squares in 4 ways, for example, as 11563991296 + 11100438119824 = 107536^2 + 3331732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11112002111095 and 11112002111104.

It is not an unprimeable number, because it can be changed into a prime (11112002111129) 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 7 ways as a sum of consecutive naturals, for example, 46522931 + ... + 46761170.

It is an arithmetic number, because the mean of its divisors is an integer number (646318900707).

Almost surely, 211112002111120 is an apocalyptic number.

11112002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112002111120 is an abundant number, since it is smaller than the sum of its proper divisors (14740753917160).

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

11112002111120 is a wasteful number, since it uses less digits than its factorization.

11112002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93285603 (or 93285597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11112002111120 its reverse (2111120021111), we get a palindrome (13223122132231).

The spelling of 11112002111120 in words is "eleven trillion, one hundred twelve billion, two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1489 2978 5956 7445 11912 14890 23824 29780 59560 119120 93284101 186568202 373136404 466420505 746272808 932841010 1492545616 1865682020 3731364040 7462728080 138900026389 277800052778 555600105556 694500131945 1111200211112 1389000263890 2222400422224 2778000527780 5556001055560 11112002111120