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203142312210312 = 233219149996616391
BaseRepresentation
bin101110001100000111000001…
…010110111010111110001000
3222122021012211000102200000200
4232030013001112322332020
5203111240423411212222
62000014142341332200
760534355604356056
oct5614070126727610
9878235730380020
10203142312210312
1159800197373a82
121a94a411407060
13894731270c847
1438241d72751d6
1518742e74d8eac
hexb8c1c15baf88

203142312210312 has 96 divisors (see below), whose sum is σ = 583020589320000. Its totient is φ = 63719665511040.

The previous prime is 203142312210287. The next prime is 203142312210319. The reversal of 203142312210312 is 213012213241302.

203142312210312 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 423 + 1 + 221 + 0 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (203142312210319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498104364 + ... + 498512027.

It is an arithmetic number, because the mean of its divisors is an integer number (6073131138750).

Almost surely, 2203142312210312 is an apocalyptic number.

It is an amenable number.

203142312210312 is an abundant number, since it is smaller than the sum of its proper divisors (379878277109688).

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

203142312210312 is a wasteful number, since it uses less digits than its factorization.

203142312210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996616571 (or 996616564 counting only the distinct ones).

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

Adding to 203142312210312 its reverse (213012213241302), we get a palindrome (416154525451614).

The spelling of 203142312210312 in words is "two hundred three trillion, one hundred forty-two billion, three hundred twelve million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 228 298 342 447 456 596 684 894 1192 1341 1368 1788 2682 2831 3576 5364 5662 8493 10728 11324 16986 22648 25479 33972 50958 67944 101916 203832 996616391 1993232782 2989849173 3986465564 5979698346 7972931128 8969547519 11959396692 17939095038 18935711429 23918793384 35878190076 37871422858 56807134287 71756380152 75742845716 113614268574 148495842259 151485691432 170421402861 227228537148 296991684518 340842805722 445487526777 454457074296 593983369036 681685611444 890975053554 1187966738072 1336462580331 1363371222888 1781950107108 2672925160662 2821421002921 3563900214216 5345850321324 5642842005842 8464263008763 10691700642648 11285684011684 16928526017526 22571368023368 25392789026289 33857052035052 50785578052578 67714104070104 101571156105156 203142312210312