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205253055243 = 3327729579281
BaseRepresentation
bin1011111100101000001…
…0010001001100001011
3201121210102211112121000
42333022002101030023
511330324240231433
6234143021150043
720554235116605
oct2771202211413
9647712745530
10205253055243
117a057aa9375
12339429bb323
131648071cca2
149d11a16175
155514715113
hex2fca09130b

205253055243 has 32 divisors (see below), whose sum is σ = 305312454720. Its totient is φ = 136280586240.

The previous prime is 205253055233. The next prime is 205253055347. The reversal of 205253055243 is 342550352502.

205253055243 is a `hidden beast` number, since 2 + 0 + 52 + 53 + 0 + 552 + 4 + 3 = 666.

It is not a de Polignac number, because 205253055243 - 210 = 205253054219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205253055198 and 205253055207.

It is not an unprimeable number, because it can be changed into a prime (205253055223) by changing a digit.

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, 22110763 + ... + 22120043.

It is an arithmetic number, because the mean of its divisors is an integer number (9541014210).

Almost surely, 2205253055243 is an apocalyptic number.

205253055243 is a deficient number, since it is larger than the sum of its proper divisors (100059399477).

205253055243 is a wasteful number, since it uses less digits than its factorization.

205253055243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 205253055243 in words is "two hundred five billion, two hundred fifty-three million, fifty-five thousand, two hundred forty-three".

Divisors: 1 3 9 27 277 831 2493 2957 7479 8871 9281 26613 27843 79839 83529 250587 819089 2457267 2570837 7371801 7712511 22115403 23137533 27443917 69412599 82331751 246995253 740985759 7601965009 22805895027 68417685081 205253055243