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242133040203210 = 232513283077310959
BaseRepresentation
bin110111000011011111111101…
…110110011000010111001010
31011202022200200220000111020200
4313003133331312120113022
5223214101431243000320
62214550214424033030
7102000351313062102
oct6703377566302712
91152280626014220
10242133040203210
1170173055887a72
12231a7009302776
13a515080ab1c30
1443b1431b28202
151ced681983290
hexdc37fdd985ca

242133040203210 has 96 divisors (see below), whose sum is σ = 677996556007680. Its totient is φ = 59599865418624.

The previous prime is 242133040203157. The next prime is 242133040203247. The reversal of 242133040203210 is 12302040331242.

242133040203210 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 330 + 4 + 0 + 2 + 0 + 321 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29463711 + ... + 36774669.

It is an arithmetic number, because the mean of its divisors is an integer number (7062464125080).

Almost surely, 2242133040203210 is an apocalyptic number.

242133040203210 is an abundant number, since it is smaller than the sum of its proper divisors (435863515804470).

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

242133040203210 is a wasteful number, since it uses less digits than its factorization.

242133040203210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339292 (or 7339289 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242133040203210 its reverse (12302040331242), we get a palindrome (254435080534452).

The spelling of 242133040203210 in words is "two hundred forty-two trillion, one hundred thirty-three billion, forty million, two hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 28307 56614 84921 141535 169842 254763 283070 367991 424605 509526 735982 849210 1103973 1273815 1839955 2207946 2547630 3311919 3679910 5519865 6623838 7310959 11039730 14621918 16559595 21932877 33119190 36554795 43865754 65798631 73109590 95042467 109664385 131597262 190084934 219328770 285127401 328993155 475212335 570254802 657986310 855382203 950424670 1425637005 1710764406 2851274010 4276911015 8553822030 206951316413 413902632826 620853949239 1034756582065 1241707898478 1862561847717 2069513164130 2690367113369 3104269746195 3725123695434 5380734226738 6208539492390 8071101340107 9312809238585 13451835566845 16142202680214 18625618477170 24213304020321 26903671133690 40355506700535 48426608040642 80711013401070 121066520101605 242133040203210