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203013320 = 235174353131
BaseRepresentation
bin11000001100110…
…11110011001000
3112011000010220212
430012123303020
5403432411240
632051140252
75013404366
oct1406336310
9464003825
10203013320
11a4660a04
1257ba4688
13330a0a33
141cd68636
1512c52165
hexc19bcc8

203013320 has 128 divisors (see below), whose sum is σ = 508083840. Its totient is φ = 72683520.

The previous prime is 203013319. The next prime is 203013323. The reversal of 203013320 is 23310302.

It is a junction number, because it is equal to n+sod(n) for n = 203013295 and 203013304.

It is not an unprimeable number, because it can be changed into a prime (203013323) 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 31 ways as a sum of consecutive naturals, for example, 1549655 + ... + 1549785.

It is an arithmetic number, because the mean of its divisors is an integer number (3969405).

Almost surely, 2203013320 is an apocalyptic number.

203013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254041920).

203013320 is an abundant number, since it is smaller than the sum of its proper divisors (305070520).

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

203013320 is a wasteful number, since it uses less digits than its factorization.

203013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 203013320 is about 14248.2742814700. The cubic root of 203013320 is about 587.7259200538.

Adding to 203013320 its reverse (23310302), we get a palindrome (226323622).

The spelling of 203013320 in words is "two hundred three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 53 68 85 86 106 131 136 170 172 212 215 262 265 340 344 424 430 524 530 655 680 731 860 901 1048 1060 1310 1462 1720 1802 2120 2227 2279 2620 2924 3604 3655 4454 4505 4558 5240 5633 5848 6943 7208 7310 8908 9010 9116 11135 11266 11395 13886 14620 17816 18020 18232 22270 22532 22790 27772 28165 29240 34715 36040 38743 44540 45064 45580 55544 56330 69430 77486 89080 91160 95761 112660 118031 138860 154972 191522 193715 225320 236062 277720 298549 309944 383044 387430 472124 478805 590155 597098 766088 774860 944248 957610 1180310 1194196 1492745 1549720 1915220 2360620 2388392 2985490 3830440 4721240 5075333 5970980 10150666 11941960 20301332 25376665 40602664 50753330 101506660 203013320