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200233001133 = 331119211231663
BaseRepresentation
bin1011101001111011010…
…0010010000010101101
3201010211120201100222000
42322132310102002231
511240034122014013
6231552532042513
720315650266414
oct2723664220255
9633746640860
10200233001133
1177a11344420
1232981763439
1315b6068c479
14999701447b
15531db4b973
hex2e9ed120ad

200233001133 has 96 divisors (see below), whose sum is σ = 342047047680. Its totient is φ = 114794871840.

The previous prime is 200233001119. The next prime is 200233001141. The reversal of 200233001133 is 331100332002.

200233001133 is a `hidden beast` number, since 200 + 2 + 330 + 0 + 1 + 133 = 666.

200233001133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200233001133 - 26 = 200233001069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200233001233) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 120403860 + ... + 120405522.

It is an arithmetic number, because the mean of its divisors is an integer number (3562990080).

Almost surely, 2200233001133 is an apocalyptic number.

It is an amenable number.

200233001133 is a deficient number, since it is larger than the sum of its proper divisors (141814046547).

200233001133 is a wasteful number, since it uses less digits than its factorization.

200233001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200233001133 its reverse (331100332002), we get a palindrome (531333333135).

The spelling of 200233001133 in words is "two hundred billion, two hundred thirty-three million, one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 361 513 627 1083 1123 1663 1881 3249 3369 3971 4989 5643 9747 10107 11913 12353 14967 18293 21337 30321 31597 35739 37059 44901 54879 64011 94791 107217 111177 164637 192033 234707 284373 333531 347567 405403 493911 576099 600343 704121 853119 1042701 1216209 1801029 1867549 2112363 3128103 3648627 4459433 5403087 5602647 6337089 6603773 9384309 10945881 13378299 16209261 16807941 19811319 20543039 35483431 40134897 50423823 59433957 61629117 106450293 120404691 178301871 184887351 319350879 390317741 554662053 674185189 958052637 1170953223 2022555567 3512859669 6067666701 7416037079 10538579007 18203000103 22248111237 66744333711 200233001133