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212401013210424 = 233217712444087881
BaseRepresentation
bin110000010010110101110110…
…111100010011110100111000
31000212001100010210210221202200
4300102311312330103310320
5210314434233340213144
62031423402312230200
762511316053352353
oct6022656674236470
91025040123727680
10212401013210424
116174a844746535
121b9a48a569b360
1391694391a0b9c
143a6439a19129a
1519850877e8c69
hexc12d76f13d38

212401013210424 has 96 divisors (see below), whose sum is σ = 617669889539040. Its totient is φ = 65697082214400.

The previous prime is 212401013210401. The next prime is 212401013210467. The reversal of 212401013210424 is 424012310104212.

212401013210424 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 10 + 13 + 210 + 424 = 666.

It is a super-2 number, since 2×2124010132104242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221957037 + ... + 1222130844.

It is an arithmetic number, because the mean of its divisors is an integer number (6434061349365).

Almost surely, 2212401013210424 is an apocalyptic number.

212401013210424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212401013210424 is an abundant number, since it is smaller than the sum of its proper divisors (405268876328616).

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

212401013210424 is a wasteful number, since it uses less digits than its factorization.

212401013210424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444087981 (or 2444087974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212401013210424 its reverse (424012310104212), we get a palindrome (636413323314636).

The spelling of 212401013210424 in words is "two hundred twelve trillion, four hundred one billion, thirteen million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 71 72 102 136 142 153 204 213 284 306 408 426 568 612 639 852 1207 1224 1278 1704 2414 2556 3621 4828 5112 7242 9656 10863 14484 21726 28968 43452 86904 2444087881 4888175762 7332263643 9776351524 14664527286 19552703048 21996790929 29329054572 41549493977 43993581858 58658109144 83098987954 87987163716 124648481931 166197975908 173530239551 175974327432 249296963862 332395951816 347060479102 373945445793 498593927724 520590718653 694120958204 747890891586 997187855448 1041181437306 1388241916408 1495781783172 1561772155959 2082362874612 2950014072367 2991563566344 3123544311918 4164725749224 5900028144734 6247088623836 8850042217101 11800056289468 12494177247672 17700084434202 23600112578936 26550126651303 35400168868404 53100253302606 70800337736808 106200506605212 212401013210424