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2200112101120 = 28512491376171
BaseRepresentation
bin100000000001000000111…
…001100111011100000000
321210022212121001212021211
4200001000321213130000
5242021312144213440
64402414553455504
7314644554204343
oct40010071473400
97708777055254
102200112101120
11779075a1923a
122b6491111594
1312c614b7306b
14786b37d245a
153c36b1e6eea
hex20040e67700

2200112101120 has 72 divisors (see below), whose sum is σ = 5274179190000. Its totient is φ = 879339601920.

The previous prime is 2200112101091. The next prime is 2200112101123. The reversal of 2200112101120 is 211012110022.

It is a super-2 number, since 2×22001121011202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2200112101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200112101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910635 + ... + 2286805.

It is an arithmetic number, because the mean of its divisors is an integer number (73252488750).

Almost surely, 22200112101120 is an apocalyptic number.

2200112101120 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 2200112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637089595000).

2200112101120 is an abundant number, since it is smaller than the sum of its proper divisors (3074067088880).

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

2200112101120 is a wasteful number, since it uses less digits than its factorization.

2200112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377441 (or 1377427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2200112101120 its reverse (211012110022), we get a palindrome (2411124211142).

The spelling of 2200112101120 in words is "two trillion, two hundred billion, one hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1249 1280 2498 4996 6245 9992 12490 19984 24980 39968 49960 79936 99920 159872 199840 319744 399680 799360 1376171 1598720 2752342 5504684 6880855 11009368 13761710 22018736 27523420 44037472 55046840 88074944 110093680 176149888 220187360 352299776 440374720 880749440 1718837579 1761498880 3437675158 6875350316 8594187895 13750700632 17188375790 27501401264 34376751580 55002802528 68753503160 110005605056 137507006320 220011210112 275014012640 440022420224 550028025280 1100056050560 2200112101120