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202300113321200 = 2452811626399571
BaseRepresentation
bin101101111111110110101010…
…011001000111110011110000
3222112021200221201122020202002
4231333312222121013303300
5203003441113002234300
61554131220012313132
760416462253051566
oct5577665231076360
9875250851566662
10202300113321200
1159505aa6020314
121a83314a7727a8
1388b5a84c7aacb
1437d55406b3a36
15185c4546625d5
hexb7fdaa647cf0

202300113321200 has 120 divisors (see below), whose sum is σ = 486707900950656. Its totient is φ = 80806551264000.

The previous prime is 202300113321151. The next prime is 202300113321283. The reversal of 202300113321200 is 2123311003202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031667415 + ... + 2031766985.

Almost surely, 2202300113321200 is an apocalyptic number.

202300113321200 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 202300113321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243353950475328).

202300113321200 is an abundant number, since it is smaller than the sum of its proper divisors (284407787629456).

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

202300113321200 is a wasteful number, since it uses less digits than its factorization.

202300113321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106663 (or 106652 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 202300113321200 its reverse (2123311003202), we get a palindrome (204423424324402).

The spelling of 202300113321200 in words is "two hundred two trillion, three hundred billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 811 1622 3244 4055 6263 6488 8110 12526 12976 16220 20275 25052 31315 32440 40550 50104 62630 64880 81100 99571 100208 125260 156575 162200 199142 250520 313150 324400 398284 497855 501040 626300 796568 995710 1252600 1593136 1991420 2489275 2505200 3982840 4978550 5079293 7965680 9957100 10158586 19914200 20317172 25396465 39828400 40634344 50792930 80752081 81268688 101585860 126982325 161504162 203171720 253964650 323008324 403760405 406343440 507929300 623613173 646016648 807520810 1015858600 1247226346 1292033296 1615041620 2018802025 2031717200 2494452692 3118065865 3230083240 4037604050 4988905384 6236131730 6460166480 8075208100 9977810768 12472263460 15590329325 16150416200 24944526920 31180658650 32300832400 49889053840 62361317300 124722634600 249445269200 505750283303 1011500566606 2023001133212 2528751416515 4046002266424 5057502833030 8092004532848 10115005666060 12643757082575 20230011332120 25287514165150 40460022664240 50575028330300 101150056660600 202300113321200