Search a number
-
+
203013513200 = 245212714926821
BaseRepresentation
bin1011110100010010001…
…1000101111111110000
3201102000100202000110102
42331010203011333300
511311232424410300
6233132500051532
720444602250531
oct2750443057760
9642010660412
10203013513200
1179108921283
1233418993ba8
13161b4755394
149b7c404688
155432cd70d5
hex2f448c5ff0

203013513200 has 120 divisors (see below), whose sum is σ = 494898086400. Its totient is φ = 80022297600.

The previous prime is 203013513179. The next prime is 203013513203. The reversal of 203013513200 is 2315310302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203013513203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7555790 + ... + 7582610.

It is an arithmetic number, because the mean of its divisors is an integer number (4124150720).

Almost surely, 2203013513200 is an apocalyptic number.

203013513200 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 203013513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247449043200).

203013513200 is an abundant number, since it is smaller than the sum of its proper divisors (291884573200).

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

203013513200 is a wasteful number, since it uses less digits than its factorization.

203013513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27115 (or 27104 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 203013513200 its reverse (2315310302), we get a palindrome (205328823502).

The spelling of 203013513200 in words is "two hundred three billion, thirteen million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 149 200 254 298 400 508 596 635 745 1016 1192 1270 1490 2032 2384 2540 2980 3175 3725 5080 5960 6350 7450 10160 11920 12700 14900 18923 25400 26821 29800 37846 50800 53642 59600 75692 94615 107284 134105 151384 189230 214568 268210 302768 378460 429136 473075 536420 670525 756920 946150 1072840 1341050 1513840 1892300 2145680 2682100 3406267 3784600 3996329 5364200 6812534 7569200 7992658 10728400 13625068 15985316 17031335 19981645 27250136 31970632 34062670 39963290 54500272 63941264 68125340 79926580 85156675 99908225 136250680 159853160 170313350 199816450 272501360 319706320 340626700 399632900 507533783 681253400 799265800 1015067566 1362506800 1598531600 2030135132 2537668915 4060270264 5075337830 8120540528 10150675660 12688344575 20301351320 25376689150 40602702640 50753378300 101506756600 203013513200