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10200200122212 = 22327717783172561
BaseRepresentation
bin1001010001101110101101…
…0011100000111101100100
31100010010111111002012101120
42110123223103200331210
52314110002212402322
633405523544253540
72101640316325062
oct224335323407544
940103444065346
1010200200122212
113282976060a81
121188a4a4712b0
1358cb4aa754b9
14273999a25032
1512a4e5c47a5c
hex946eb4e0f64

10200200122212 has 48 divisors (see below), whose sum is σ = 23887870860672. Its totient is φ = 3387581959680.

The previous prime is 10200200122201. The next prime is 10200200122219. The reversal of 10200200122212 is 21222100200201.

10200200122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10200200122191 and 10200200122200.

It is not an unprimeable number, because it can be changed into a prime (10200200122219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59024412 + ... + 59196972.

It is an arithmetic number, because the mean of its divisors is an integer number (497663976264).

Almost surely, 210200200122212 is an apocalyptic number.

10200200122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200200122212 is an abundant number, since it is smaller than the sum of its proper divisors (13687670738460).

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

10200200122212 is a wasteful number, since it uses less digits than its factorization.

10200200122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190628 (or 190626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10200200122212 its reverse (21222100200201), we get a palindrome (31422300322413).

The spelling of 10200200122212 in words is "ten trillion, two hundred billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 277 554 831 1108 1662 3324 17783 35566 53349 71132 106698 172561 213396 345122 517683 690244 1035366 2070732 4925891 9851782 14777673 19703564 29555346 47799397 59110692 95598794 143398191 191197588 286796382 573592764 3068652263 6137304526 9205956789 12274609052 18411913578 36823827156 850016676851 1700033353702 2550050030553 3400066707404 5100100061106 10200200122212