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205353340003053 = 321119335149305771
BaseRepresentation
bin101110101100010010001100…
…111000100110001011101101
3222221002120212100022010012100
4232230102030320212023231
5203404002120020044203
62004430004432325313
761153201125460314
oct5654221470461355
9887076770263170
10205353340003053
115a482953976960
121b046a2a0a3839
138a77976b9bb18
14389d22466d27b
1518b1aa1b69ea3
hexbac48ce262ed

205353340003053 has 48 divisors (see below), whose sum is σ = 325274015851200. Its totient is φ = 123807789619200.

The previous prime is 205353340003037. The next prime is 205353340003087. The reversal of 205353340003053 is 350300043353502.

205353340003053 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 5 + 3 + 340 + 0 + 0 + 305 + 3 = 666.

205353340003053 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 205353340003053 - 24 = 205353340003037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205353340002999 and 205353340003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205353340003013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671439058 + ... + 671744828.

It is an arithmetic number, because the mean of its divisors is an integer number (6776541996900).

Almost surely, 2205353340003053 is an apocalyptic number.

It is an amenable number.

205353340003053 is a deficient number, since it is larger than the sum of its proper divisors (119920675848147).

205353340003053 is a wasteful number, since it uses less digits than its factorization.

205353340003053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341130 (or 341127 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 36.

Adding to 205353340003053 its reverse (350300043353502), we get a palindrome (555653383356555).

The spelling of 205353340003053 in words is "two hundred five trillion, three hundred fifty-three billion, three hundred forty million, three thousand, fifty-three".

Divisors: 1 3 9 11 33 99 193 579 1737 2123 6369 19107 35149 105447 305771 316341 386639 917313 1159917 2751939 3363481 3479751 6783757 10090443 20351271 30271329 59013803 61053813 74621327 177041409 223863981 531124227 649151833 671591943 1947455499 5842366497 10747544879 32242634637 96727903911 118222993669 354668981007 1064006943021 2074276161647 6222828484941 18668485454823 22817037778117 68451113334351 205353340003053