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200210221112 = 231129499157219
BaseRepresentation
bin1011101001110101110…
…1011000100000111000
3201010202222212000122112
42322131131120200320
511240012304033422
6231550355511452
720315252541356
oct2723535304070
9633688760575
10200210221112
11779aa4a5460
1232975bb8588
1315b58a44875
149993da47d6
15531bb4bee2
hex2e9d758838

200210221112 has 64 divisors (see below), whose sum is σ = 424494000000. Its totient is φ = 87689911680.

The previous prime is 200210221097. The next prime is 200210221139. The reversal of 200210221112 is 211122012002.

200210221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194839 + ... + 1352057.

It is an arithmetic number, because the mean of its divisors is an integer number (6632718750).

Almost surely, 2200210221112 is an apocalyptic number.

200210221112 is a gapful number since it is divisible by the number (22) 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 200210221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212247000000).

200210221112 is an abundant number, since it is smaller than the sum of its proper divisors (224283778888).

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

200210221112 is a wasteful number, since it uses less digits than its factorization.

200210221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157764 (or 157760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210221112 its reverse (211122012002), we get a palindrome (411332233114).

The spelling of 200210221112 in words is "two hundred billion, two hundred ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 499 638 998 1276 1996 2552 3992 5489 10978 14471 21956 28942 43912 57884 115768 157219 159181 314438 318362 628876 636724 1257752 1273448 1729409 3458818 4559351 6917636 9118702 13835272 18237404 36474808 50152861 78452281 100305722 156904562 200611444 313809124 401222888 627618248 862975091 1725950182 2275116149 3451900364 4550232298 6903800728 9100464596 18200929192 25026277639 50052555278 100105110556 200210221112