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21102211200200 = 2352138116235077
BaseRepresentation
bin1001100110001001111011…
…10011010111010011001000
32202201100111101021212211012
410303010331303113103020
510231214312031401300
6112514115541223052
74305404315444144
oct463047563272310
982640441255735
1021102211200200
1167a64410a8509
1224498bba01a88
13ba0c122125a0
1452d4d127a224
15268db4a17435
hex13313dcd74c8

21102211200200 has 48 divisors (see below), whose sum is σ = 52836690357780. Its totient is φ = 7791585672960.

The previous prime is 21102211200181. The next prime is 21102211200233. The reversal of 21102211200200 is 200211220112.

It can be written as a sum of positive squares in 6 ways, for example, as 1200387566884 + 19901823633316 = 1095622^2 + 4461146^2 .

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 11 ways as a sum of consecutive naturals, for example, 4058114939 + ... + 4058120138.

Almost surely, 221102211200200 is an apocalyptic number.

21102211200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102211200200 is an abundant number, since it is smaller than the sum of its proper divisors (31734479157580).

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

21102211200200 is a wasteful number, since it uses less digits than its factorization.

21102211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116235106 (or 8116235097 counting only the distinct ones).

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

Adding to 21102211200200 its reverse (200211220112), we get a palindrome (21302422420312).

The spelling of 21102211200200 in words is "twenty-one trillion, one hundred two billion, two hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8116235077 16232470154 32464940308 40581175385 64929880616 81162350770 105511056001 162324701540 202905876925 211022112002 324649403080 405811753850 422044224004 527555280005 811623507700 844088448008 1055110560010 1623247015400 2110221120020 2637776400025 4220442240040 5275552800050 10551105600100 21102211200200