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212122102212020 = 2257111310595509601
BaseRepresentation
bin110000001110110010000110…
…100011010010010110110100
31000211001200020000120012121202
4300032302012203102112310
5210300402031131241040
62031051314245432032
762452213303111460
oct6016620643222664
91024050200505552
10212122102212020
1161652529761280
121b95a826a0b618
13914904a549760
143a54a9bc0d4a0
15197cbb17b8015
hexc0ec868d25b4

212122102212020 has 96 divisors (see below), whose sum is σ = 598095326013696. Its totient is φ = 61030135296000.

The previous prime is 212122102211951. The next prime is 212122102212023. The reversal of 212122102212020 is 20212201221212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212122102211983 and 212122102212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122102212023) 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, 5297734781 + ... + 5297774820.

It is an arithmetic number, because the mean of its divisors is an integer number (6230159645976).

Almost surely, 2212122102212020 is an apocalyptic number.

212122102212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122102212020 is an abundant number, since it is smaller than the sum of its proper divisors (385973223801676).

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

212122102212020 is a wasteful number, since it uses less digits than its factorization.

212122102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595509641 (or 10595509639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212122102212020 its reverse (20212201221212), we get a palindrome (232334303433232).

The spelling of 212122102212020 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 10595509601 21191019202 42382038404 52977548005 74168567207 105955096010 116550605611 137741624813 148337134414 211910192020 233101211222 275483249626 296674268828 370842836035 466202422444 550966499252 582753028055 688708124065 741685672070 815854239277 964191373691 1165506056110 1377416248130 1483371344140 1515157872943 1631708478554 1928382747382 2331012112220 2754832496260 3030315745886 3263416957108 3856765494764 4079271196385 4820956868455 6060631491772 7575789364715 8158542392770 9641913736910 10606105110601 15151578729430 16317084785540 19283827473820 21212210221202 30303157458860 42424420442404 53030525553005 106061051106010 212122102212020