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212012212020100 = 22529351492267149
BaseRepresentation
bin110000001101001011110000…
…100101011110001110000100
31000210200011120120210001121121
4300031023300211132032010
5210242102002234120400
62030525022101323324
762441243153643262
oct6015136045361604
91023604516701547
10212012212020100
116160a9685a1648
121b941478a06544
13913b886a1875b
143a4d635451432
151979dce16121a
hexc0d2f095e384

212012212020100 has 36 divisors (see below), whose sum is σ = 460067194982500. Its totient is φ = 84804756716160.

The previous prime is 212012212020097. The next prime is 212012212020127. The reversal of 212012212020100 is 1020212210212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 711799317124 + 211300412702976 = 843682^2 + 14536176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92381326 + ... + 94648474.

Almost surely, 2212012212020100 is an apocalyptic number.

212012212020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012212020100 is an abundant number, since it is smaller than the sum of its proper divisors (248054982962400).

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

212012212020100 is a wasteful number, since it uses less digits than its factorization.

212012212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202312 (or 3202305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012212020100 its reverse (1020212210212), we get a palindrome (213032424230312).

The spelling of 212012212020100 in words is "two hundred twelve trillion, twelve billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 935149 1870298 2267149 3740596 4534298 4675745 9068596 9351490 11335745 18702980 22671490 23378725 45342980 46757450 56678725 93514900 113357450 226714900 2120122120201 4240244240402 8480488480804 10600610601005 21201221202010 42402442404020 53003053005025 106006106010050 212012212020100