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203105196 = 223272971187
BaseRepresentation
bin11000001101100…
…10001110101100
3112011011210221200
430012302032230
5403443331241
632053125500
75014236300
oct1406621654
9464153850
10203105196
11a4713a38
1258029890
13331037b8
141cd8dd00
1512c6e4b6
hexc1b23ac

203105196 has 108 divisors (see below), whose sum is σ = 603891288. Its totient is φ = 57383424.

The previous prime is 203105167. The next prime is 203105197. The reversal of 203105196 is 691501302.

It is not an unprimeable number, because it can be changed into a prime (203105197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170515 + ... + 171701.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2203105196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203105196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301945644).

203105196 is an abundant number, since it is smaller than the sum of its proper divisors (400786092).

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

203105196 is a wasteful number, since it uses less digits than its factorization.

203105196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 203105196 is about 14251.4980265234. The cubic root of 203105196 is about 587.8145673782.

Adding to 203105196 its reverse (691501302), we get a palindrome (894606498).

The spelling of 203105196 in words is "two hundred three million, one hundred five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1187 1358 1746 1764 2037 2374 2716 3492 3561 4074 4748 4753 6111 7122 8148 8309 9506 10683 12222 14244 14259 16618 19012 21366 24444 24927 28518 33236 42732 42777 49854 57036 58163 74781 85554 99708 115139 116326 149562 171108 174489 230278 232652 299124 345417 348978 460556 523467 690834 697956 805973 1036251 1046934 1381668 1611946 2072502 2093868 2417919 3223892 4145004 4835838 5641811 7253757 9671676 11283622 14507514 16925433 22567244 29015028 33850866 50776299 67701732 101552598 203105196