Search a number
-
+
203131110 = 235713372011
BaseRepresentation
bin11000001101110…
…00100011100110
3112011020010111110
430012320203212
5404000143420
632053445450
75014404660
oct1406704346
9464203443
10203131110
11a4731456
1258040886
1333112530
141cd99530
1512c76ee0
hexc1b88e6

203131110 has 128 divisors (see below), whose sum is σ = 616541184. Its totient is φ = 41679360.

The previous prime is 203131091. The next prime is 203131111. The reversal of 203131110 is 11131302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203131111) 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 63 ways as a sum of consecutive naturals, for example, 100005 + ... + 102015.

It is an arithmetic number, because the mean of its divisors is an integer number (4816728).

Almost surely, 2203131110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308270592).

203131110 is an abundant number, since it is smaller than the sum of its proper divisors (413410074).

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

203131110 is a wasteful number, since it uses less digits than its factorization.

203131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 203131110 is about 14252.4071651072. The cubic root of 203131110 is about 587.8395658834.

Adding to 203131110 its reverse (11131302), we get a palindrome (214262412).

The spelling of 203131110 in words is "two hundred three million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2011 2405 2590 2730 2886 3367 3885 4022 4810 6033 6734 7215 7770 10055 10101 12066 14077 14430 16835 20110 20202 26143 28154 30165 33670 42231 50505 52286 60330 70385 74407 78429 84462 101010 130715 140770 148814 156858 183001 211155 223221 261430 366002 372035 392145 422310 446442 520849 549003 744070 784290 915005 967291 1041698 1098006 1116105 1562547 1830010 1934582 2232210 2604245 2745015 2901873 3125094 4836455 5208490 5490030 5803746 6771037 7812735 9672910 13542074 14509365 15625470 20313111 29018730 33855185 40626222 67710370 101565555 203131110