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200210200112 = 241331257120817
BaseRepresentation
bin1011101001110101110…
…1010011011000110000
3201010202222210221211202
42322131131103120300
511240012302400422
6231550355230332
720315252423216
oct2723535233060
9633688727752
10200210200112
11779aa4906aa
1232975ba83a8
1315b58a38140
149993d9acb6
15531bb45b92
hex2e9d753630

200210200112 has 80 divisors (see below), whose sum is σ = 432903459072. Its totient is φ = 89075220480.

The previous prime is 200210200111. The next prime is 200210200117. The reversal of 200210200112 is 211002012002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200210200093 and 200210200102.

It is not an unprimeable number, because it can be changed into a prime (200210200111) 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, 1596728 + ... + 1717544.

Almost surely, 2200210200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216451729536).

200210200112 is an abundant number, since it is smaller than the sum of its proper divisors (232693258960).

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

200210200112 is a wasteful number, since it uses less digits than its factorization.

200210200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121126 (or 121120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200210200112 its reverse (211002012002), we get a palindrome (411212212114).

The spelling of 200210200112 in words is "two hundred billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 257 403 496 514 806 1028 1612 2056 3224 3341 4112 6448 6682 7967 13364 15934 26728 31868 53456 63736 103571 120817 127472 207142 241634 414284 483268 828568 966536 1570621 1657136 1933072 3141242 3745327 6282484 7490654 12564968 14981308 25129936 29962616 31049969 48689251 59925232 62099938 97378502 124199876 194757004 248399752 389514008 403649597 496799504 779028016 807299194 962549039 1614598388 1925098078 3229196776 3850196156 6458393552 7700392312 12513137507 15400784624 25026275014 50052550028 100105100056 200210200112