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213013042330320 = 24335116387847321
BaseRepresentation
bin110000011011101111110110…
…101110000111101011010000
31000221012211220011120121121000
4300123233312232013223100
5210410001202314032240
62033012501332302000
762603453523135651
oct6033576656075320
91027184804517530
10213013042330320
116196636217a931
121ba83430a71900
1391b207501a3cb
143a85c59c73528
151995e5873a430
hexc1bbf6b87ad0

213013042330320 has 160 divisors (see below), whose sum is σ = 733718760243840. Its totient is φ = 56802922859520.

The previous prime is 213013042330279. The next prime is 213013042330379. The reversal of 213013042330320 is 23033240310312.

213013042330320 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 3 + 0 + 4 + 2 + 330 + 320 = 666.

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

It is a congruent number.

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, 250972260 + ... + 251819580.

It is an arithmetic number, because the mean of its divisors is an integer number (4585742251524).

Almost surely, 2213013042330320 is an apocalyptic number.

213013042330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013042330320 is an abundant number, since it is smaller than the sum of its proper divisors (520705717913520).

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

213013042330320 is a wasteful number, since it uses less digits than its factorization.

213013042330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963730 (or 963718 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213013042330320 its reverse (23033240310312), we get a palindrome (236046282640632).

The spelling of 213013042330320 in words is "two hundred thirteen trillion, thirteen billion, forty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 116387 232774 349161 465548 581935 698322 847321 931096 1047483 1163870 1396644 1694642 1745805 1862192 2094966 2327740 2541963 2793288 3142449 3389284 3491610 4189932 4236605 4655480 5083926 5237415 5586576 6284898 6778568 6983220 7625889 8379864 8473210 9310960 10167852 10474830 12569796 12709815 13557136 13966440 15251778 15712245 16759728 16946420 20335704 20949660 22877667 25139592 25419630 27932880 30503556 31424490 33892840 38129445 40671408 41899320 45755334 50279184 50839260 61007112 62848980 67785680 76258890 83798640 91510668 101678520 114388335 122014224 125697960 152517780 183021336 203357040 228776670 251395920 305035560 366042672 457553340 610071120 915106680 1830213360 98617149227 197234298454 295851447681 394468596908 493085746135 591702895362 788937193816 887554343043 986171492270 1183405790724 1479257238405 1577874387632 1775108686086 1972342984540 2366811581448 2662663029129 2958514476810 3550217372172 3944685969080 4437771715215 4733623162896 5325326058258 5917028953620 7100434744344 7889371938160 8875543430430 10650652116516 11834057907240 13313315145645 14200869488688 17751086860860 21301304233032 23668115814480 26626630291290 35502173721720 42602608466064 53253260582580 71004347443440 106506521165160 213013042330320