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10200211120200 = 2335217000351867
BaseRepresentation
bin1001010001101110101111…
…1101011110000001001000
31100010010112020202221210110
42110123223331132001020
52314110013021321300
633405525020114320
72101640511652143
oct224335375360110
940103466687713
1010200211120200
113282981292a22
121188a520959a0
1358cb5012639a
1427399b28905a
1512a4e6bbb550
hex946ebf5e048

10200211120200 has 48 divisors (see below), whose sum is σ = 31620654474480. Its totient is φ = 2720056298560.

The previous prime is 10200211120193. The next prime is 10200211120223. The reversal of 10200211120200 is 202111200201.

10200211120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102002111202003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8500175334 + ... + 8500176533.

It is an arithmetic number, because the mean of its divisors is an integer number (658763634885).

Almost surely, 210200211120200 is an apocalyptic number.

10200211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200211120200 is an abundant number, since it is smaller than the sum of its proper divisors (21420443354280).

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

10200211120200 is a wasteful number, since it uses less digits than its factorization.

10200211120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000351886 (or 17000351877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200211120200 its reverse (202111200201), we get a palindrome (10402322320401).

The spelling of 10200211120200 in words is "ten trillion, two hundred billion, two hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 17000351867 34000703734 51001055601 68001407468 85001759335 102002111202 136002814936 170003518670 204004222404 255005278005 340007037340 408008444808 425008796675 510010556010 680014074680 850017593350 1020021112020 1275026390025 1700035186700 2040042224040 2550052780050 3400070373400 5100105560100 10200211120200