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210122212122020 = 2251121274211623943
BaseRepresentation
bin101111110001101011100011…
…110100000001110110100100
31000112222111011020112100211102
4233301223203310001312210
5210020120242300401040
62022520451152255232
762154554203611632
oct5761534364016644
91015874136470742
10210122212122020
1160a51369960500
121b697113841518
1390325939b87b3
1439c5d7dbb0352
151945b6329b515
hexbf1ae3d01da4

210122212122020 has 144 divisors (see below), whose sum is σ = 489998105554944. Its totient is φ = 75626329363200.

The previous prime is 210122212121947. The next prime is 210122212122041. The reversal of 210122212122020 is 20221212221012.

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 = 210122212121983 and 210122212122001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128578169 + ... + 130202111.

Almost surely, 2210122212122020 is an apocalyptic number.

210122212122020 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 210122212122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244999052777472).

210122212122020 is an abundant number, since it is smaller than the sum of its proper divisors (279875893432924).

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

210122212122020 is a wasteful number, since it uses less digits than its factorization.

210122212122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624522 (or 1624509 counting only the distinct ones).

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

Adding to 210122212122020 its reverse (20221212221012), we get a palindrome (230343424343032).

The spelling of 210122212122020 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 127 220 242 254 421 484 508 605 635 842 1210 1270 1397 1684 2105 2420 2540 2794 4210 4631 5588 6985 8420 9262 13970 15367 18524 23155 27940 30734 46310 50941 53467 61468 76835 92620 101882 106934 153670 203764 213868 254705 267335 307340 509410 534670 588137 1018820 1069340 1176274 1623943 2352548 2940685 3247886 5881370 6469507 6495772 8119715 11762740 12939014 16239430 17863373 25878028 32347535 32478860 35726746 64695070 71453492 89316865 129390140 178633730 196497103 206240761 357267460 392994206 412481522 683680003 785988412 824963044 982485515 1031203805 1367360006 1964971030 2062407610 2268648371 2734720012 3418400015 3929942060 4124815220 4537296742 6836800030 7520480033 9074593484 11343241855 13673600060 15040960066 22686483710 24955132081 30081920132 37602400165 45372967420 49910264162 75204800330 82725280363 86827360381 99820528324 124775660405 150409600660 165450560726 173654720762 249551320810 330901121452 347309441524 413626401815 434136801905 499102641620 827252803630 868273603810 955100964191 1654505607260 1736547207620 1910201928382 3820403856764 4775504820955 9551009641910 10506110606101 19102019283820 21012221212202 42024442424404 52530553030505 105061106061010 210122212122020