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212134103401230 = 23352344097747807
BaseRepresentation
bin110000001110111101010001…
…111000001100001100001110
31000211002211012101220210021000
4300032331101320030030032
5210301101120432314410
62031101021200521130
762453116560410343
oct6016752170141416
91024084171823230
10212134103401230
116165762805536a
121b9610160201a6
13914a210a0964a
143a554b9a5a7ca
15197d1651c0dc0
hexc0ef51e0c30e

212134103401230 has 128 divisors (see below), whose sum is σ = 590420159078400. Its totient is φ = 54097288895232.

The previous prime is 212134103401201. The next prime is 212134103401243. The reversal of 212134103401230 is 32104301431212.

212134103401230 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 4 + 10 + 3 + 401 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212134103401194 and 212134103401203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23505987 + ... + 31253793.

It is an arithmetic number, because the mean of its divisors is an integer number (4612657492800).

Almost surely, 2212134103401230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212134103401230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295210079539200).

212134103401230 is an abundant number, since it is smaller than the sum of its proper divisors (378286055677170).

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

212134103401230 is a wasteful number, since it uses less digits than its factorization.

212134103401230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752255 (or 7752249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212134103401230 its reverse (32104301431212), we get a palindrome (244238404832442).

The spelling of 212134103401230 in words is "two hundred twelve trillion, one hundred thirty-four billion, one hundred three million, four hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 4409 6210 8818 13227 22045 26454 39681 44090 66135 79362 101407 119043 132270 198405 202814 238086 304221 396810 507035 595215 608442 912663 1014070 1190430 1521105 1825326 2737989 3042210 4563315 5475978 7747807 9126630 13689945 15495614 23243421 27379890 38739035 46486842 69730263 77478070 116217105 139460526 178199561 209190789 232434210 348651315 356399122 418381578 534598683 697302630 890997805 1045953945 1069197366 1603796049 1781995610 2091907890 2672993415 3207592098 4811388147 5345986830 8018980245 9622776294 16037960490 24056940735 34160081063 48113881470 68320162126 102480243189 170800405315 204960486378 307440729567 341600810630 512401215945 614881459134 785681864449 922322188701 1024802431890 1537203647835 1571363728898 1844644377402 2357045593347 3074407295670 3928409322245 4611610943505 4714091186694 7071136780041 7856818644490 9223221887010 11785227966735 14142273560082 21213410340123 23570455933470 35355683900205 42426820680246 70711367800410 106067051700615 212134103401230