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202323311213220 = 223352381915729997
BaseRepresentation
bin101110000000001100010001…
…000110000011101010100100
3222112100220211102120021011000
4232000030101012003222210
5203004331120132310340
61554150013535513300
760421243155636051
oct5600142106035244
9875326742507130
10202323311213220
115951491a6929aa
121a837743688830
1388b8011036932
1437d6701596028
15185cd61011d30
hexb80311183aa4

202323311213220 has 96 divisors (see below), whose sum is σ = 629476767964800. Its totient is φ = 53950614440832.

The previous prime is 202323311213203. The next prime is 202323311213267. The reversal of 202323311213220 is 22312113323202.

202323311213220 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 3 + 311 + 21 + 322 + 0 = 666.

202323311213220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4997262 + ... + 20727258.

It is an arithmetic number, because the mean of its divisors is an integer number (6557049666300).

Almost surely, 2202323311213220 is an apocalyptic number.

202323311213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202323311213220 is an abundant number, since it is smaller than the sum of its proper divisors (427153456751580).

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

202323311213220 is a wasteful number, since it uses less digits than its factorization.

202323311213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15753834 (or 15753826 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 202323311213220 its reverse (22312113323202), we get a palindrome (224635424536422).

The spelling of 202323311213220 in words is "two hundred two trillion, three hundred twenty-three billion, three hundred eleven million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 23819 47638 71457 95276 119095 142914 214371 238190 285828 357285 428742 476380 643113 714570 857484 1071855 1286226 1429140 2143710 2572452 3215565 4287420 6431130 12862260 15729997 31459994 47189991 62919988 78649985 94379982 141569973 157299970 188759964 235949955 283139946 314599940 424709919 471899910 566279892 707849865 849419838 943799820 1415699730 1698839676 2123549595 2831399460 4247099190 8494198380 374672798543 749345597086 1124018395629 1498691194172 1873363992715 2248036791258 3372055186887 3746727985430 4496073582516 5620091978145 6744110373774 7493455970860 10116165560661 11240183956290 13488220747548 16860275934435 20232331121322 22480367912580 33720551868870 40464662242644 50580827803305 67441103737740 101161655606610 202323311213220