Search a number
-
+
10022202110200 = 23527177121128109
BaseRepresentation
bin1001000111010111100111…
…0010111111000011111000
31022111010001111102022101011
42101311321302333003320
52303200432220011300
633152045221203304
72053036340226460
oct221657162770370
938433044368334
1010022202110200
1132144348a4025
12115a453260534
13579121b23137
14269111a80ba0
15125a79195eba
hex91d79cbf0f8

10022202110200 has 384 divisors, whose sum is σ = 28730596838400. Its totient is φ = 3173280768000.

The previous prime is 10022202110147. The next prime is 10022202110233. The reversal of 10022202110200 is 201120222001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356533746 + ... + 356561854.

It is an arithmetic number, because the mean of its divisors is an integer number (74819262600).

Almost surely, 210022202110200 is an apocalyptic number.

10022202110200 is a gapful number since it is divisible by the number (10) 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 10022202110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365298419200).

10022202110200 is an abundant number, since it is smaller than the sum of its proper divisors (18708394728200).

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

10022202110200 is a wasteful number, since it uses less digits than its factorization.

10022202110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28431 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022202110200 its reverse (201120222001), we get a palindrome (10223322332201).

The spelling of 10022202110200 in words is "ten trillion, twenty-two billion, two hundred two million, one hundred ten thousand, two hundred".