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211000200212020 = 225174632521953149
BaseRepresentation
bin101111111110011101001111…
…111110110010111000110100
31000200002102101202000120010211
4233332131033332302320310
5210124011402223241040
62024432053120155204
762305155442340512
oct5776351776627064
91020072352016124
10211000200212020
116125a75628a53a
121b7b9304168b04
13909730601288b
143a1666d9d54b2
15195d8ed0e58ea
hexbfe74ffb2e34

211000200212020 has 96 divisors (see below), whose sum is σ = 470205957312000. Its totient is φ = 79259168507904.

The previous prime is 211000200212017. The next prime is 211000200212023. The reversal of 211000200212020 is 20212002000112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211000200212017) and next prime (211000200212023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000200212023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969948406 + ... + 3970001554.

It is an arithmetic number, because the mean of its divisors is an integer number (4897978722000).

Almost surely, 2211000200212020 is an apocalyptic number.

211000200212020 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 211000200212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235102978656000).

211000200212020 is an abundant number, since it is smaller than the sum of its proper divisors (259205757099980).

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

211000200212020 is a wasteful number, since it uses less digits than its factorization.

211000200212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78857 (or 78855 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211000200212020 its reverse (20212002000112), we get a palindrome (231212202212132).

The spelling of 211000200212020 in words is "two hundred eleven trillion, two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 463 926 1852 2315 4630 7871 9260 15742 25219 31484 39355 50438 53149 78710 100876 106298 126095 157420 212596 252190 265745 428723 504380 531490 857446 903533 1062980 1714892 1807066 2143615 3614132 4287230 4517665 8574460 9035330 11676397 18070660 23352794 24607987 46705588 49215974 58381985 98431948 116763970 123039935 198498749 233527940 246079870 396997498 418335779 492159740 793994996 836671558 992493745 1340364631 1673343116 1984987490 2091678895 2680729262 3969974980 4183357790 5361458524 6701823155 8366715580 13403646310 22786198727 26807292620 45572397454 91144794908 113930993635 227861987270 455723974540 620588824153 1241177648306 2482355296612 3102944120765 6205888241530 10550010010601 12411776483060 21100020021202 42200040042404 52750050053005 105500100106010 211000200212020