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200200111120 = 2456767755171
BaseRepresentation
bin1011101001110011011…
…0110100010000010000
3201010202021211101100101
42322130312310100100
511240002212023440
6231545355102144
720315100603232
oct2723466642020
9633667741311
10200200111120
11779a481a699
1232972741954
1315b56914c19
1499928d2252
15531ad0169a
hex2e9cdb4410

200200111120 has 80 divisors (see below), whose sum is σ = 473118879168. Its totient is φ = 78766871040.

The previous prime is 200200111109. The next prime is 200200111121. The reversal of 200200111120 is 21111002002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200200111097 and 200200111106.

It is not an unprimeable number, because it can be changed into a prime (200200111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3601135 + ... + 3656305.

Almost surely, 2200200111120 is an apocalyptic number.

200200111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236559439584).

200200111120 is an abundant number, since it is smaller than the sum of its proper divisors (272918768048).

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

200200111120 is a wasteful number, since it uses less digits than its factorization.

200200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55928 (or 55922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200200111120 its reverse (21111002002), we get a palindrome (221311113122).

The spelling of 200200111120 in words is "two hundred billion, two hundred million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 677 1072 1340 1354 2680 2708 3385 5360 5416 6770 10832 13540 27080 45359 54160 55171 90718 110342 181436 220684 226795 275855 362872 441368 453590 551710 725744 882736 907180 1103420 1814360 2206840 3628720 3696457 4413680 7392914 14785828 18482285 29571656 36964570 37350767 59143312 73929140 74701534 147858280 149403068 186753835 295716560 298806136 373507670 597612272 747015340 1494030680 2502501389 2988061360 5005002778 10010005556 12512506945 20020011112 25025013890 40040022224 50050027780 100100055560 200200111120