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212012212100 = 225213163086317
BaseRepresentation
bin1100010101110011101…
…0011001111110000100
3202021020111101021200212
43011130322121332010
511433200111241400
6241221433254552
721213601032353
oct3053472317604
9667214337625
10212012212100
1181a06403a17
123510a564458
1316cb9b6b3a0
14a39359b99a
1557acd08335
hex315ce99f84

212012212100 has 36 divisors (see below), whose sum is σ = 495456234084. Its totient is φ = 78281431680.

The previous prime is 212012212099. The next prime is 212012212129. The reversal of 212012212100 is 1212210212.

212012212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8546262916 + 203465949184 = 92446^2 + 451072^2 .

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, 81541859 + ... + 81544458.

It is an arithmetic number, because the mean of its divisors is an integer number (13762673169).

Almost surely, 2212012212100 is an apocalyptic number.

212012212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012212100 is an abundant number, since it is smaller than the sum of its proper divisors (283444021984).

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

212012212100 is a wasteful number, since it uses less digits than its factorization.

212012212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163086344 (or 163086337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212012212100 its reverse (1212210212), we get a palindrome (213224422312).

The spelling of 212012212100 in words is "two hundred twelve billion, twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163086317 326172634 652345268 815431585 1630863170 2120122121 3261726340 4077157925 4240244242 8154315850 8480488484 10600610605 16308631700 21201221210 42402442420 53003053025 106006106050 212012212100