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212411311022440 = 235172339301345571
BaseRepresentation
bin110000010010111111011100…
…101111010110000101101000
31000212002022201110222000011201
4300102333130233112011220
5210320121331110204230
62031432224214133544
762512132205332045
oct6022773457260550
91025068643860151
10212411311022440
1161754149580082
121b9a689a3512b4
13916a3ba7a128a
143a64a95ab81cc
15198548b8d25ca
hexc12fdcbd6168

212411311022440 has 128 divisors (see below), whose sum is σ = 528055358526720. Its totient is φ = 76487634432000.

The previous prime is 212411311022401. The next prime is 212411311022569. The reversal of 212411311022440 is 44220113114212.

It is a junction number, because it is equal to n+sod(n) for n = 212411311022399 and 212411311022408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614494855 + ... + 614840425.

It is an arithmetic number, because the mean of its divisors is an integer number (4125432488490).

Almost surely, 2212411311022440 is an apocalyptic number.

212411311022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212411311022440 is an abundant number, since it is smaller than the sum of its proper divisors (315644047504280).

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

212411311022440 is a wasteful number, since it uses less digits than its factorization.

212411311022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384923 (or 384919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 212411311022440 its reverse (44220113114212), we get a palindrome (256631424136652).

The spelling of 212411311022440 in words is "two hundred twelve trillion, four hundred eleven billion, three hundred eleven million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 39301 78602 157204 196505 314408 345571 393010 668117 691142 786020 903923 1336234 1382284 1572040 1727855 1807846 2672468 2764568 3340585 3455710 3615692 4519615 5344936 5874707 6681170 6911420 7231384 7948133 9039230 11749414 13362340 13822840 15366691 15896266 18078460 23498828 26724680 29373535 30733382 31792532 36156920 39740665 46997656 58747070 61466764 63585064 76833455 79481330 117494140 122933528 135118261 153666910 158962660 234988280 270236522 307333820 317925320 540473044 614667640 675591305 1080946088 1351182610 2702365220 5404730440 13581285871 27162571742 54325143484 67906429355 108650286968 135812858710 230881859807 271625717420 312369575033 461763719614 543251434840 624739150066 923527439228 1154409299035 1249478300132 1561847875165 1847054878456 2308818598070 2498956600264 3123695750330 4617637196140 5310282775561 6247391500660 9235274392280 10620565551122 12494783001320 21241131102244 26551413877805 42482262204488 53102827755610 106205655511220 212411311022440