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10220210000200 = 2352479371160359
BaseRepresentation
bin1001010010111001001111…
…1111001001000101001000
31100012001011000012022200201
42110232103333021011020
52314421442230001300
633423033305341544
72103246221432554
oct224562377110510
940161130168621
1010220210000200
113290404117522
1211908b37978b4
135919b94cb2a5
1427493735c864
1512acb77b566a
hex94b93fc9148

10220210000200 has 96 divisors (see below), whose sum is σ = 24293482617600. Its totient is φ = 3996829923840.

The previous prime is 10220210000179. The next prime is 10220210000207. The reversal of 10220210000200 is 200001202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10220210000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8227621 + ... + 9387979.

It is an arithmetic number, because the mean of its divisors is an integer number (253057110600).

Almost surely, 210220210000200 is an apocalyptic number.

10220210000200 is a gapful number since it is divisible by the number (10) 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 10220210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146741308800).

10220210000200 is an abundant number, since it is smaller than the sum of its proper divisors (14073272617400).

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

10220210000200 is a wasteful number, since it uses less digits than its factorization.

10220210000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161359 (or 1161350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220210000200 its reverse (200001202201), we get a palindrome (10420211202401).

The spelling of 10220210000200 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 937 940 1175 1874 1880 2350 3748 4685 4700 7496 9370 9400 18740 23425 37480 44039 46850 88078 93700 176156 187400 220195 352312 440390 880780 1100975 1160359 1761560 2201950 2320718 4403900 4641436 5801795 8807800 9282872 11603590 23207180 29008975 46414360 54536873 58017950 109073746 116035900 218147492 232071800 272684365 436294984 545368730 1087256383 1090737460 1363421825 2174512766 2181474920 2726843650 4349025532 5436281915 5453687300 8698051064 10872563830 10907374600 21745127660 27181409575 43490255320 51101050001 54362819150 102202100002 108725638300 204404200004 217451276600 255505250005 408808400008 511010500010 1022021000020 1277526250025 2044042000040 2555052500050 5110105000100 10220210000200