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212120020100 = 22527329057537
BaseRepresentation
bin1100010110001101010…
…1101010010010000100
3202021112000020111110202
43011203111222102010
511433410211120400
6241240244110032
721216350264402
oct3054325522204
9667460214422
10212120020100
1181a6124873a
123513a695318
13170062b6ac1
14a3a3a22472
1557b75014d5
hex316356a484

212120020100 has 36 divisors (see below), whose sum is σ = 466605945204. Its totient is φ = 83685703680.

The previous prime is 212120020067. The next prime is 212120020141. The reversal of 212120020100 is 1020021212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30364456516 + 181755563584 = 174254^2 + 426328^2 .

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, 14521469 + ... + 14536068.

Almost surely, 2212120020100 is an apocalyptic number.

212120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120020100 is an abundant number, since it is smaller than the sum of its proper divisors (254485925104).

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

212120020100 is a wasteful number, since it uses less digits than its factorization.

212120020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29057624 (or 29057617 counting only the distinct ones).

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

Adding to 212120020100 its reverse (1020021212), we get a palindrome (213140041312).

The spelling of 212120020100 in words is "two hundred twelve billion, one hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 29057537 58115074 116230148 145287685 290575370 581150740 726438425 1452876850 2121200201 2905753700 4242400402 8484800804 10606001005 21212002010 42424004020 53030005025 106060010050 212120020100