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200200020020 = 225711213909091
BaseRepresentation
bin1011101001110011011…
…0011110000000110100
3201010202021122202101022
42322130312132000310
511240002201120040
6231545353120312
720315100043520
oct2723466360064
9633667582338
10200200020020
11779a4768200
12329726b9098
1315b568b2610
1499928aad80
15531acd46b5
hex2e9cd9e034

200200020020 has 144 divisors (see below), whose sum is σ = 568757046144. Its totient is φ = 57599942400.

The previous prime is 200200019993. The next prime is 200200020029. The reversal of 200200020020 is 20020002002.

200200020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200020029) 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 47 ways as a sum of consecutive naturals, for example, 234326 + ... + 674765.

Almost surely, 2200200020020 is an apocalyptic number.

200200020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200020020 is an abundant number, since it is smaller than the sum of its proper divisors (368557026124).

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

200200020020 is a wasteful number, since it uses less digits than its factorization.

200200020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909142 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 200200020020 its reverse (20020002002), we get a palindrome (220220022022).

It can be divided in two parts, 2002000 and 20020, that multiplied together give a square (40080040000 = 2002002).

The spelling of 200200020020 in words is "two hundred billion, two hundred million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 909091 1818182 3636364 4545455 6363637 9090910 10000001 11818183 12727274 18181820 20000002 23636366 25454548 31818185 40000004 47272732 50000005 59090915 63636370 70000007 82727281 100000010 110000011 118181830 127272740 130000013 140000014 165454562 200000020 220000022 236363660 260000026 280000028 330909124 350000035 413636405 440000044 520000052 550000055 650000065 700000070 770000077 827272810 910000091 1100000110 1300000130 1400000140 1430000143 1540000154 1654545620 1820000182 2200000220 2600000260 2860000286 3080000308 3640000364 3850000385 4550000455 5720000572 7150000715 7700000770 9100000910 10010001001 14300001430 15400001540 18200001820 20020002002 28600002860 40040004004 50050005005 100100010010 200200020020