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212132302020 = 223253731851697
BaseRepresentation
bin1100010110010000010…
…0100000110011000100
3202021112212100111002200
43011210010200303010
511433421332131040
6241241403234500
721216556546632
oct3054404406304
9667485314080
10212132302020
1181a68177291
1235142818a30
13170089c7202
14a3a54dc352
1557b862a630
hex3164120cc4

212132302020 has 72 divisors (see below), whose sum is σ = 660859030104. Its totient is φ = 55039730688.

The previous prime is 212132301989. The next prime is 212132302021. The reversal of 212132302020 is 20203231212.

212132302020 is a `hidden beast` number, since 21 + 213 + 230 + 202 + 0 = 666.

212132302020 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 4 ways, for example, as 20014892676 + 192117409344 = 141474^2 + 438312^2 .

It is a super-2 number, since 2×2121323020202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212132301984 and 212132302002.

It is not an unprimeable number, because it can be changed into a prime (212132302021) 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 23 ways as a sum of consecutive naturals, for example, 15919189 + ... + 15932508.

Almost surely, 2212132302020 is an apocalyptic number.

212132302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132302020 is an abundant number, since it is smaller than the sum of its proper divisors (448726728084).

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

212132302020 is a wasteful number, since it uses less digits than its factorization.

212132302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31851749 (or 31851744 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212132302020 its reverse (20203231212), we get a palindrome (232335533232).

The spelling of 212132302020 in words is "two hundred twelve billion, one hundred thirty-two million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31851697 63703394 95555091 127406788 159258485 191110182 286665273 318516970 382220364 477775455 573330546 637033940 955550910 1146661092 1178512789 1433326365 1911101820 2357025578 2866652730 3535538367 4714051156 5733305460 5892563945 7071076734 10606615101 11785127890 14142153468 17677691835 21213230202 23570255780 35355383670 42426460404 53033075505 70710767340 106066151010 212132302020