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10022110212200 = 2352199325143277
BaseRepresentation
bin1001000111010111010001…
…0100011011000001101000
31022111002211002111102000112
42101311310110123001220
52303200240203242300
633152032135353452
72053034143140332
oct221656424330150
938432732442015
1010022110212200
113214397a36769
12115a428522888
13579108a88318
1426910379c452
15125a71091e35
hex91d7451b068

10022110212200 has 48 divisors (see below), whose sum is σ = 23313098794380. Its totient is φ = 4006832463360.

The previous prime is 10022110212199. The next prime is 10022110212209. The reversal of 10022110212200 is 221201122001.

It can be written as a sum of positive squares in 6 ways, for example, as 7436452644196 + 2585657568004 = 2726986^2 + 1607998^2 .

It is not an unprimeable number, because it can be changed into a prime (10022110212209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12173039 + ... + 12970238.

Almost surely, 210022110212200 is an apocalyptic number.

10022110212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022110212200 is an abundant number, since it is smaller than the sum of its proper divisors (13290988582180).

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

10022110212200 is a wasteful number, since it uses less digits than its factorization.

10022110212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145286 (or 25145277 counting only the distinct ones).

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

Adding to 10022110212200 its reverse (221201122001), we get a palindrome (10243311334201).

The spelling of 10022110212200 in words is "ten trillion, twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1993 3986 7972 9965 15944 19930 39860 49825 79720 99650 199300 398600 25143277 50286554 100573108 125716385 201146216 251432770 502865540 628581925 1005731080 1257163850 2514327700 5028655400 50110551061 100221102122 200442204244 250552755305 400884408488 501105510610 1002211021220 1252763776525 2004422042440 2505527553050 5011055106100 10022110212200