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212201020100 = 22524095188289
BaseRepresentation
bin1100010110100000101…
…0101001101011000100
3202021201122122201120202
43011220022221223010
511434041430120400
6241252300150032
721221352624116
oct3055012515304
9667648581522
10212201020100
1181aa2a42193
1235161838318
131701a0073b4
14a3b06a93b6
1557be6a14d5
hex31682a9ac4

212201020100 has 36 divisors (see below), whose sum is σ = 461602161300. Its totient is φ = 84672860160.

The previous prime is 212201020069. The next prime is 212201020111. The reversal of 212201020100 is 1020102212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3052120516 + 209148899584 = 55246^2 + 457328^2 .

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, 2553245 + ... + 2635044.

Almost surely, 2212201020100 is an apocalyptic number.

212201020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201020100 is an abundant number, since it is smaller than the sum of its proper divisors (249401141200).

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

212201020100 is a wasteful number, since it uses less digits than its factorization.

212201020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188712 (or 5188705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212201020100 its reverse (1020102212), we get a palindrome (213221122312).

The spelling of 212201020100 in words is "two hundred twelve billion, two hundred one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 20450 40900 5188289 10376578 20753156 25941445 51882890 103765780 129707225 259414450 518828900 2122010201 4244020402 8488040804 10610051005 21220102010 42440204020 53050255025 106100510050 212201020100