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220120212010212 = 2232231513075734747
BaseRepresentation
bin110010000011001010111011…
…000010110111010011100100
31001212101021202001012102001200
4302003022323002313103210
5212322422143233311322
62100053455052122500
764236106024510413
oct6203127302672344
91055337661172050
10220120212010212
1164156504180958
1220830931766430
1395a932965aab7
143c4dc3741547a
151a6ac728088ac
hexc832bb0b74e4

220120212010212 has 144 divisors (see below), whose sum is σ = 586355869811712. Its totient is φ = 69491358129600.

The previous prime is 220120212010183. The next prime is 220120212010229. The reversal of 220120212010212 is 212010212021022.

It is a happy number.

220120212010212 is a `hidden beast` number, since 220 + 1 + 20 + 212 + 0 + 1 + 0 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35516223 + ... + 41250969.

Almost surely, 2220120212010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120212010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293177934905856).

220120212010212 is an abundant number, since it is smaller than the sum of its proper divisors (366235657801500).

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

220120212010212 is a wasteful number, since it uses less digits than its factorization.

220120212010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735238 (or 5735233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120212010212 its reverse (212010212021022), we get a palindrome (432130424031234).

The spelling of 220120212010212 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twelve million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 307 414 453 604 614 828 906 921 1228 1359 1812 1842 2718 2763 3473 3684 5436 5526 6946 7061 10419 11052 13892 14122 20838 21183 28244 31257 41676 42366 46357 62514 63549 84732 92714 125028 127098 139071 185428 254196 278142 417213 556284 834426 1066211 1668852 2132422 3198633 4264844 5734747 6397266 9595899 11469494 12794532 17204241 19191798 22938988 34408482 38383596 51612723 68816964 103225446 131899181 206450892 263798362 395697543 527596724 791395086 865946797 1187092629 1582790172 1731893594 1760567329 2374185258 2597840391 3463787188 3521134658 4748370516 5195680782 5281701987 7042269316 7793521173 10391361564 10563403974 15587042346 15845105961 19916776331 21126807948 31174084692 31690211922 39833552662 40493048567 59750328993 63380423844 79667105324 80986097134 119500657986 121479145701 161972194268 179250986979 239001315972 242958291402 265845666679 358501973958 364437437103 485916582804 531691333358 717003947916 728874874206 797537000037 1063382666716 1457749748412 1595074000074 2392611000111 3190148000148 4785222000222 6114450333617 9570444000444 12228900667234 18343351000851 24457801334468 36686702001702 55030053002553 73373404003404 110060106005106 220120212010212