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201022210200 = 233527470310177
BaseRepresentation
bin1011101100110111011…
…0111000000010011000
3201012212120202100021110
42323031312320002120
511243143141211300
6232203123340320
720344342410450
oct2731566700230
9635776670243
10201022210200
1178286884919
1232b61b216a0
1315c58034796
149a2db70d60
155368091550
hex2ecddb8098

201022210200 has 192 divisors, whose sum is σ = 712414402560. Its totient is φ = 45933649920.

The previous prime is 201022210199. The next prime is 201022210219. The reversal of 201022210200 is 2012220102.

201022210200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 19747512 + ... + 19757688.

It is an arithmetic number, because the mean of its divisors is an integer number (3710491680).

Almost surely, 2201022210200 is an apocalyptic number.

201022210200 is a gapful number since it is divisible by the number (20) 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 201022210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356207201280).

201022210200 is an abundant number, since it is smaller than the sum of its proper divisors (511392192360).

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

201022210200 is a wasteful number, since it uses less digits than its factorization.

201022210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201022210200 its reverse (2012220102), we get a palindrome (203034430302).

The spelling of 201022210200 in words is "two hundred one billion, twenty-two million, two hundred ten thousand, two hundred".