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2102212202200 = 2352111019460901
BaseRepresentation
bin11110100101110101100…
…111001000111011011000
321102222011210010201010121
4132211311213020323120
5233420312310432300
64245424251123024
7304610530613455
oct36456547107330
97388153121117
102102212202200
117405a7a90170
1229b50a743474
131233124884a6
1473a6764682c
1539a3b54481a
hex1e9759c8ed8

2102212202200 has 96 divisors (see below), whose sum is σ = 5384766982320. Its totient is φ = 756872000000.

The previous prime is 2102212202183. The next prime is 2102212202267. The reversal of 2102212202200 is 22022122012.

It is a super-2 number, since 2×21022122022002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4508251 + ... + 4952650.

Almost surely, 22102212202200 is an apocalyptic number.

2102212202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102212202200 is an abundant number, since it is smaller than the sum of its proper divisors (3282554780120).

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

2102212202200 is a wasteful number, since it uses less digits than its factorization.

2102212202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461029 (or 9461020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2102212202200 its reverse (22022122012), we get a palindrome (2124234324212).

The spelling of 2102212202200 in words is "two trillion, one hundred two billion, two hundred twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 9460901 18921802 37843604 47304505 75687208 94609010 104069911 189218020 208139822 236522525 378436040 416279644 473045050 520349555 832559288 946090100 955551001 1040699110 1892180200 1911102002 2081398220 2601747775 3822204004 4162796440 4777755005 5203495550 7644408008 9555510010 10406991100 10511061011 19111020020 20813982200 21022122022 23888775025 38222040040 42044244044 47777550050 52555305055 84088488088 95555100100 105110610110 191110200200 210221220220 262776525275 420442440440 525553050550 1051106101100 2102212202200