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203311130200 = 235219396713487
BaseRepresentation
bin1011110101011001001…
…0011010011001011000
3201102210002202112020021
42331112102122121120
511312340122131300
6233222211040224
720455145043553
oct2752622323130
9642702675207
10203311130200
1179250918342
12334a05a0074
13162312ca609
149ba9b5769a
15544dec4d1a
hex2f5649a658

203311130200 has 96 divisors (see below), whose sum is σ = 497739571200. Its totient is φ = 77019085440.

The previous prime is 203311130179. The next prime is 203311130221. The reversal of 203311130200 is 2031113302.

203311130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203311130179) and next prime (203311130221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15067857 + ... + 15081343.

It is an arithmetic number, because the mean of its divisors is an integer number (5184787200).

Almost surely, 2203311130200 is an apocalyptic number.

203311130200 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 203311130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248869785600).

203311130200 is an abundant number, since it is smaller than the sum of its proper divisors (294428441000).

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

203311130200 is a wasteful number, since it uses less digits than its factorization.

203311130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 203311130200 its reverse (2031113302), we get a palindrome (205342243502).

The spelling of 203311130200 in words is "two hundred three billion, three hundred eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 3967 7934 13487 15868 19835 26974 31736 39670 53948 67435 75373 79340 99175 107896 134870 150746 158680 198350 256253 269740 301492 337175 376865 396700 512506 539480 602984 674350 753730 793400 1025012 1281265 1348700 1507460 1884325 2050024 2562530 2697400 3014920 3768650 5125060 6406325 7537300 10250120 12812650 15074600 25625300 51250600 53502929 107005858 214011716 267514645 428023432 535029290 1016555651 1070058580 1337573225 2033111302 2140117160 2675146450 4066222604 5082778255 5350292900 8132445208 10165556510 10700585800 20331113020 25413891275 40662226040 50827782550 101655565100 203311130200