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210220212200200 = 23529901106161101
BaseRepresentation
bin101111110011000110110101…
…000100101010001100001000
31000120022212010000222011002121
4233303012311010222030020
5210023221443310401300
62023033455434141024
762164623554542366
oct5763066504521410
91016285100864077
10210220212200200
1160a899893a2754
121b6b2103881774
13903b8b107a637
1439ca9d9396636
15194849bb3b81a
hexbf31b512a308

210220212200200 has 48 divisors (see below), whose sum is σ = 488811362881860. Its totient is φ = 84079591200000.

The previous prime is 210220212200191. The next prime is 210220212200209. The reversal of 210220212200200 is 2002212022012.

It is an interprime number because it is at equal distance from previous prime (210220212200191) and next prime (210220212200209).

It can be written as a sum of positive squares in 6 ways, for example, as 97584485652196 + 112635726548004 = 9878486^2 + 10612998^2 .

It is not an unprimeable number, because it can be changed into a prime (210220212200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51100351 + ... + 55060750.

Almost surely, 2210220212200200 is an apocalyptic number.

210220212200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210220212200200 is an abundant number, since it is smaller than the sum of its proper divisors (278591150681660).

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

210220212200200 is a wasteful number, since it uses less digits than its factorization.

210220212200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106171018 (or 106171009 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210220212200200 its reverse (2002212022012), we get a palindrome (212222424222212).

The spelling of 210220212200200 in words is "two hundred ten trillion, two hundred twenty billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9901 19802 39604 49505 79208 99010 198020 247525 396040 495050 990100 1980200 106161101 212322202 424644404 530805505 849288808 1061611010 2123222020 2654027525 4246444040 5308055050 10616110100 21232220200 1051101061001 2102202122002 4204404244004 5255505305005 8408808488008 10511010610010 21022021220020 26277526525025 42044042440040 52555053050050 105110106100100 210220212200200