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200112121020020 = 2251121114233029447
BaseRepresentation
bin101101100000000000111011…
…111000110111111001110100
3222020112112100210010000102112
4231200000323320313321310
5202212114110440120040
61545334123404030152
760102423623260016
oct5540007370677164
9866475323100375
10200112121020020
115884208a449170
121a53b0a0532358
138787652026401
14375b69a7a61b6
1518205974a2365
hexb6003be37e74

200112121020020 has 96 divisors (see below), whose sum is σ = 460935214903296. Its totient is φ = 72372253161600.

The previous prime is 200112121019981. The next prime is 200112121020101. The reversal of 200112121020020 is 20020121211002.

It is a super-2 number, since 2×2001121210200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200112121019977 and 200112121020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64540937 + ... + 67570383.

It is an arithmetic number, because the mean of its divisors is an integer number (4801408488576).

Almost surely, 2200112121020020 is an apocalyptic number.

200112121020020 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 200112121020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230467607451648).

200112121020020 is an abundant number, since it is smaller than the sum of its proper divisors (260823093883276).

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

200112121020020 is a wasteful number, since it uses less digits than its factorization.

200112121020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031101 (or 3031099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200112121020020 its reverse (20020121211002), we get a palindrome (220132242231022).

The spelling of 200112121020020 in words is "two hundred trillion, one hundred twelve billion, one hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 1423 2110 2321 2846 4220 4642 5692 7115 9284 11605 14230 15653 23210 28460 31306 46420 62612 78265 156530 300253 313060 600506 1201012 1501265 3002530 3029447 3302783 6005060 6058894 6605566 12117788 13211132 15147235 16513915 30294470 33027830 33323917 60588940 66055660 66647834 133295668 166619585 333239170 639213317 666478340 1278426634 2556853268 3196066585 4310903081 6392133170 7031346487 8621806162 12784266340 14062692974 17243612324 21554515405 28125385948 35156732435 43109030810 47419933891 70313464870 86218061620 94839867782 140626929740 189679735564 237099669455 474199338910 909600550091 948398677820 1819201100182 3638402200364 4548002750455 9096005500910 10005606051001 18192011001820 20011212102002 40022424204004 50028030255005 100056060510010 200112121020020