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212100020 = 2251123167251
BaseRepresentation
bin11001010010001…
…10001110110100
3112210002210112022
430221012032310
5413244200040
633014012312
75153551256
oct1451061664
9483083468
10212100020
11a97a7980
125b047098
1334c32992
1420251cd6
15139496b5
hexca463b4

212100020 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 73040000.

The previous prime is 212100017. The next prime is 212100023. The reversal of 212100020 is 20001212.

It is an interprime number because it is at equal distance from previous prime (212100017) and next prime (212100023).

It is a junction number, because it is equal to n+sod(n) for n = 212099980 and 212100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844895 + ... + 845145.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2212100020 is an apocalyptic number.

212100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

212100020 is an abundant number, since it is smaller than the sum of its proper divisors (299996236).

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

212100020 is a wasteful number, since it uses less digits than its factorization.

212100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 212100020 is about 14563.6540744416. The cubic root of 212100020 is about 596.3669534291.

Adding to 212100020 its reverse (20001212), we get a palindrome (232101232).

The spelling of 212100020 in words is "two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 167 220 230 251 253 334 460 502 506 668 835 1004 1012 1255 1265 1670 1837 2510 2530 2761 3340 3674 3841 5020 5060 5522 5773 7348 7682 9185 11044 11546 13805 15364 18370 19205 23092 27610 28865 36740 38410 41917 42251 55220 57730 63503 76820 83834 84502 115460 127006 167668 169004 209585 211255 254012 317515 419170 422510 461087 635030 838340 845020 922174 964091 1270060 1844348 1928182 2305435 3856364 4610870 4820455 9221740 9640910 10605001 19281820 21210002 42420004 53025005 106050010 212100020