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200000020020 = 223517268772973
BaseRepresentation
bin1011101001000011101…
…1100001111000110100
3201010020100022200221220
42322100323201320310
511234100001120040
6231513450310340
720310121056243
oct2722073417064
9633210280856
10200000020020
1177901885249
12329177283b0
1315b24328318
1499740c895a
15530847a2d0
hex2e90ee1e34

200000020020 has 96 divisors (see below), whose sum is σ = 593170034688. Its totient is φ = 50176714752.

The previous prime is 200000020013. The next prime is 200000020027. The reversal of 200000020020 is 20020000002.

200000020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200000020013) and next prime (200000020027).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 200000019990 and 200000020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000020027) 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 31 ways as a sum of consecutive naturals, for example, 2704254 + ... + 2777226.

It is an arithmetic number, because the mean of its divisors is an integer number (6178854528).

Almost surely, 2200000020020 is an apocalyptic number.

200000020020 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 200000020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296585017344).

200000020020 is an abundant number, since it is smaller than the sum of its proper divisors (393170014668).

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

200000020020 is a wasteful number, since it uses less digits than its factorization.

200000020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75689 (or 75687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 200000020020 its reverse (20020000002), we get a palindrome (220020020022).

The spelling of 200000020020 in words is "two hundred billion, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2687 5374 8061 10748 13435 16122 26870 32244 40305 45679 53740 72973 80610 91358 137037 145946 161220 182716 218919 228395 274074 291892 364865 437838 456790 548148 685185 729730 875676 913580 1094595 1240541 1370370 1459460 2189190 2481082 2740740 3721623 4378380 4962164 6202705 7443246 12405410 14886492 18608115 24810820 37216230 74432460 196078451 392156902 588235353 784313804 980392255 1176470706 1960784510 2352941412 2941176765 3333333667 3921569020 5882353530 6666667334 10000001001 11764707060 13333334668 16666668335 20000002002 33333336670 40000004004 50000005005 66666673340 100000010010 200000020020