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212020210110020 = 2251333120563119809
BaseRepresentation
bin110000001101010011001101…
…010011110000111001000100
31000210200221012222121010101012
4300031103031103300321010
5210242214342242010040
62030532423452221352
762441645312406554
oct6015231523607104
91023627188533335
10212020210110020
11616132a2284a14
121b942b2b46a858
13913c55ca40340
143a4db9377d164
15197a1eb3d0865
hexc0d4cd4f0e44

212020210110020 has 96 divisors (see below), whose sum is σ = 480967878733440. Its totient is φ = 78043429601280.

The previous prime is 212020210109977. The next prime is 212020210110029. The reversal of 212020210110020 is 20011012020212.

It is a junction number, because it is equal to n+sod(n) for n = 212020210109977 and 212020210110004.

It is not an unprimeable number, because it can be changed into a prime (212020210110029) 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, 1769591876 + ... + 1769711684.

It is an arithmetic number, because the mean of its divisors is an integer number (5010082070140).

Almost surely, 2212020210110020 is an apocalyptic number.

212020210110020 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 212020210110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240483939366720).

212020210110020 is an abundant number, since it is smaller than the sum of its proper divisors (268947668623420).

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

212020210110020 is a wasteful number, since it uses less digits than its factorization.

212020210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140725 (or 140723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212020210110020 its reverse (20011012020212), we get a palindrome (232031222130232).

The spelling of 212020210110020 in words is "two hundred twelve trillion, twenty billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 1324 1655 3310 4303 6620 8606 17212 20563 21515 41126 43030 82252 86060 102815 119809 205630 239618 267319 411260 479236 534638 599045 1069276 1198090 1336595 1557517 2396180 2673190 3115034 5346380 6230068 6806353 7787585 13612706 15575170 27225412 31150340 34031765 39656779 68063530 79313558 88482589 136127060 158627116 176965178 198283895 353930356 396567790 442412945 515538127 793135580 884825890 1031076254 1769651780 2062152508 2463632467 2577690635 4927264934 5155381270 9854529868 10310762540 12318162335 24636324670 32027222071 49272649340 64054444142 128108888284 160136110355 320272220710 640544441420 815462346577 1630924693154 3261849386308 4077311732885 8154623465770 10601010505501 16309246931540 21202021011002 42404042022004 53005052527505 106010105055010 212020210110020