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1106205353 = 11214961357
BaseRepresentation
bin100000111101111…
…0101101010101001
32212002112001110122
41001323311222221
54231142032403
6301433453025
736261406331
oct10173655251
92762461418
101106205353
11518473500
1226a571175
131482442a6
14a6cb60c1
15671ae838
hex41ef5aa9

1106205353 has 12 divisors (see below), whose sum is σ = 1224092100. Its totient is φ = 998875680.

The previous prime is 1106205343. The next prime is 1106205367. The reversal of 1106205353 is 3535026011.

It can be written as a sum of positive squares in 2 ways, for example, as 616379929 + 489825424 = 24827^2 + 22132^2 .

It is not a de Polignac number, because 1106205353 - 28 = 1106205097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1106205323) 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 11 ways as a sum of consecutive naturals, for example, 12650 + ... + 48707.

It is an arithmetic number, because the mean of its divisors is an integer number (102007675).

Almost surely, 21106205353 is an apocalyptic number.

It is an amenable number.

1106205353 is a deficient number, since it is larger than the sum of its proper divisors (117886747).

1106205353 is a wasteful number, since it uses less digits than its factorization.

1106205353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61528 (or 61517 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 1106205353 is about 33259.6655575488. The cubic root of 1106205353 is about 1034.2175866225.

The spelling of 1106205353 in words is "one billion, one hundred six million, two hundred five thousand, three hundred fifty-three".

Divisors: 1 11 121 149 1639 18029 61357 674927 7424197 9142193 100564123 1106205353