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213332321411640 = 23335232798485327
BaseRepresentation
bin110000100000011001001101…
…001111001010001000111000
31000222100101000021111110002000
4300200121031033022020320
5210430214043240133030
62033415303203141000
762635515540430434
oct6040311517121070
91028311007443060
10213332321411640
1161a79802969292
121bb15296974760
1392061c806bc32
143a974a76399c4
15199e3e370e860
hexc2064d3ca238

213332321411640 has 128 divisors (see below), whose sum is σ = 711138369024000. Its totient is φ = 56886168564864.

The previous prime is 213332321411597. The next prime is 213332321411687. The reversal of 213332321411640 is 46114123233312.

213332321411640 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 2 + 3 + 2 + 1 + 4 + 1 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213332321411595 and 213332321411604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20898657 + ... + 29383983.

It is an arithmetic number, because the mean of its divisors is an integer number (5555768508000).

Almost surely, 2213332321411640 is an apocalyptic number.

213332321411640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332321411640 is an abundant number, since it is smaller than the sum of its proper divisors (497806047612360).

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

213332321411640 is a wasteful number, since it uses less digits than its factorization.

213332321411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508626 (or 8508616 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 213332321411640 its reverse (46114123233312), we get a palindrome (259446444644952).

The spelling of 213332321411640 in words is "two hundred thirteen trillion, three hundred thirty-two billion, three hundred twenty-one million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 23279 46558 69837 93116 116395 139674 186232 209511 232790 279348 349185 419022 465580 558696 628533 698370 838044 931160 1047555 1257066 1396740 1676088 2095110 2514132 2793480 3142665 4190220 5028264 6285330 8380440 8485327 12570660 16970654 25141320 25455981 33941308 42426635 50911962 67882616 76367943 84853270 101823924 127279905 152735886 169706540 203647848 229103829 254559810 305471772 339413080 381839715 458207658 509119620 610943544 763679430 916415316 1018239240 1145519145 1527358860 1832830632 2291038290 3054717720 4582076580 9164153160 197529927233 395059854466 592589781699 790119708932 987649636165 1185179563398 1580239417864 1777769345097 1975299272330 2370359126796 2962948908495 3555538690194 3950598544660 4740718253592 5333308035291 5925897816990 7111077380388 7901197089320 8888846725485 10666616070582 11851795633980 14222154760776 17777693450970 21333232141164 23703591267960 26666540176455 35555386901940 42666464282328 53333080352910 71110773803880 106666160705820 213332321411640