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212121010000002 = 237310113734999967
BaseRepresentation
bin110000001110110001000101…
…011100110101000010000010
31000211001120101220101002101210
4300032301011130311002002
5210300342312030000002
62031051014031510550
762452144241343045
oct6016610534650202
91024046356332353
10212121010000002
1161652019186214
121b95a581088456
139148c0519485c
143a549d6b3ac5c
15197cb4a96e96c
hexc0ec45735082

212121010000002 has 64 divisors (see below), whose sum is σ = 437481680016384. Its totient is φ = 68543933414400.

The previous prime is 212121009999989. The next prime is 212121010000021. The reversal of 212121010000002 is 200000010121212.

It is a super-3 number, since 3×2121210100000023 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11439378 + ... + 23560589.

It is an arithmetic number, because the mean of its divisors is an integer number (6835651250256).

Almost surely, 2212121010000002 is an apocalyptic number.

212121010000002 is an abundant number, since it is smaller than the sum of its proper divisors (225360670016382).

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

212121010000002 is a wasteful number, since it uses less digits than its factorization.

212121010000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35000283.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212121010000002 its reverse (200000010121212), we get a palindrome (412121020121214).

The spelling of 212121010000002 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, two", and thus it is an aban number.

Divisors: 1 2 3 6 73 101 137 146 202 219 274 303 411 438 606 822 7373 10001 13837 14746 20002 22119 27674 30003 41511 44238 60006 83022 1010101 2020202 3030303 6060606 34999967 69999934 104999901 209999802 2554997591 3534996667 4794995479 5109995182 7069993334 7664992773 9589990958 10604990001 14384986437 15329985546 21209980002 28769972874 258054756691 350034669967 484294543379 516109513382 700069339934 774164270073 968589086758 1050104009901 1452883630137 1548328540146 2100208019802 2905767260274 35353501666667 70707003333334 106060505000001 212121010000002