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212102322032100 = 223523608319593929
BaseRepresentation
bin110000001110011111101011…
…100011111000110111100100
31000210222210011111122221211110
4300032133223203320313210
5210300041023420011400
62031034243411505020
762450613160261443
oct6016375343706744
91023883144587743
10212102322032100
11616450a9322345
121b956a265b8170
139147217578696
143a53b42bc8d5a
15197c404ebde50
hexc0e7eb8f8de4

212102322032100 has 72 divisors (see below), whose sum is σ = 613699757264160. Its totient is φ = 56559048807680.

The previous prime is 212102322032063. The next prime is 212102322032101. The reversal of 212102322032100 is 1230223201212.

It is a super-2 number, since 2×2121023220321002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212102322032101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027936 + ... + 20621864.

It is an arithmetic number, because the mean of its divisors is an integer number (8523607739780).

Almost surely, 2212102322032100 is an apocalyptic number.

212102322032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102322032100 is an abundant number, since it is smaller than the sum of its proper divisors (401597435232060).

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

212102322032100 is a wasteful number, since it uses less digits than its factorization.

212102322032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630029 (or 19630022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212102322032100 its reverse (1230223201212), we get a palindrome (213332545233312).

The spelling of 212102322032100 in words is "two hundred twelve trillion, one hundred two billion, three hundred twenty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 36083 72166 108249 144332 180415 216498 360830 432996 541245 721660 902075 1082490 1804150 2164980 2706225 3608300 5412450 10824900 19593929 39187858 58781787 78375716 97969645 117563574 195939290 235127148 293908935 391878580 489848225 587817870 979696450 1175635740 1469544675 1959392900 2939089350 5878178700 707007740107 1414015480214 2121023220321 2828030960428 3535038700535 4242046440642 7070077401070 8484092881284 10605116101605 14140154802140 17675193502675 21210232203210 35350387005350 42420464406420 53025580508025 70700774010700 106051161016050 212102322032100