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212333020020 = 2232511259141389
BaseRepresentation
bin1100010111000000001…
…0001100001101110100
3202022001212001000102200
43011300002030031310
511434324223120040
6241313333304500
721224544614412
oct3056002141564
9668055030380
10212333020020
11820604aa730
1235199a95130
131703b473264
14a3c402a2b2
1557cb077630
hex317008c374

212333020020 has 144 divisors (see below), whose sum is σ = 702917429760. Its totient is φ = 51453561600.

The previous prime is 212333019991. The next prime is 212333020043. The reversal of 212333020020 is 20020333212.

It is a happy number.

It is a super-2 number, since 2×2123330200202 (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 = 212333019975 and 212333020002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109486 + ... + 5150874.

It is an arithmetic number, because the mean of its divisors is an integer number (4881371040).

Almost surely, 2212333020020 is an apocalyptic number.

212333020020 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 212333020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351458714880).

212333020020 is an abundant number, since it is smaller than the sum of its proper divisors (490584409740).

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

212333020020 is a wasteful number, since it uses less digits than its factorization.

212333020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44006 (or 44001 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212333020020 its reverse (20020333212), we get a palindrome (232353353232).

The spelling of 212333020020 in words is "two hundred twelve billion, three hundred thirty-three million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2591 5182 7773 10364 12955 15546 23319 25910 28501 31092 38865 41389 46638 51820 57002 77730 82778 85503 93276 114004 116595 124167 142505 155460 165556 171006 206945 233190 248334 256509 285010 342012 372501 413890 427515 455279 466380 496668 513018 570020 620835 745002 827780 855030 910558 1026036 1241670 1282545 1365837 1490004 1710060 1821116 1862505 2276395 2483340 2565090 2731674 3725010 4097511 4552790 5130180 5463348 6829185 7450020 8195022 9105580 13658370 16390044 20487555 27316740 40975110 81950220 107238899 214477798 321716697 428955596 536194495 643433394 965150091 1072388990 1179627889 1286866788 1608583485 1930300182 2144777980 2359255778 3217166970 3538883667 3860600364 4718511556 4825750455 5898139445 6434333940 7077767334 9651500910 10616651001 11796278890 14155534668 17694418335 19303001820 21233302002 23592557780 35388836670 42466604004 53083255005 70777673340 106166510010 212333020020