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212001000200022 = 2311711671177723003
BaseRepresentation
bin110000001101000001010100…
…010011110001011101010110
31000210122002122012202120212010
4300031001110103301131112
5210241411022022400042
62030515525345205050
762440365263023215
oct6015012423613526
91023562565676763
10212001000200022
1161606134838240
121b93b26a030786
13913a7bac589a7
143a4cc903a307c
151979974bd059c
hexc0d0544f1756

212001000200022 has 128 divisors (see below), whose sum is σ = 471931731468288. Its totient is φ = 62950548684800.

The previous prime is 212001000199943. The next prime is 212001000200167. The reversal of 212001000200022 is 220002000100212.

It is a junction number, because it is equal to n+sod(n) for n = 212001000199980 and 212001000200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9216221173 + ... + 9216244175.

It is an arithmetic number, because the mean of its divisors is an integer number (3686966652096).

Almost surely, 2212001000200022 is an apocalyptic number.

212001000200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001000200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235965865734144).

212001000200022 is an abundant number, since it is smaller than the sum of its proper divisors (259930731268266).

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

212001000200022 is a wasteful number, since it uses less digits than its factorization.

212001000200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35034.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212001000200022 its reverse (220002000100212), we get a palindrome (432003000300234).

The spelling of 212001000200022 in words is "two hundred twelve trillion, one billion, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 167 213 334 426 501 781 1002 1562 1837 2343 3674 4686 5511 11022 11777 11857 23003 23554 23714 35331 35571 46006 69009 70662 71142 129547 130427 138018 253033 259094 260854 388641 391281 506066 759099 777282 782562 836167 1518198 1633213 1672334 1966759 2508501 3266426 3841501 3933518 4899639 5017002 5900277 7683002 9197837 9799278 11524503 11800554 17965343 18395674 21634349 23049006 27593511 35930686 42256511 43268698 53896029 55187022 64903047 84513022 107792058 126769533 129806094 139639889 253539066 270906331 272746571 279279778 418919667 541812662 545493142 812718993 818239713 837839334 1536038779 1625437986 1636479426 2979969641 3000212281 3072077558 4608116337 5959939282 6000424562 8939908923 9000636843 9216232674 17879817846 18001273686 19234349501 38468699002 45241357277 57703048503 90482714554 115406097006 135724071831 211577844511 271448143662 423155689022 497654930047 634733533533 995309860094 1269467067066 1492964790141 2985929580282 3212136366667 6424272733334 9636409100001 19272818200002 35333500033337 70667000066674 106000500100011 212001000200022