Search a number
-
+
11323202003200 = 28528919879217
BaseRepresentation
bin1010010011000110001101…
…1011101110000100000000
31111002111011102020120221101
42210301203123232010000
52441004404203100300
640025450204104144
72246034333655123
oct244614333560400
944074142216841
1011323202003200
11367616337666a
12132a619535054
13641a0911ab29
142b208dd4a3ba
15149820c7ab6a
hexa4c636ee100

11323202003200 has 108 divisors (see below), whose sum is σ = 28341602310420. Its totient is φ = 4478389780480.

The previous prime is 11323202003189. The next prime is 11323202003227. The reversal of 11323202003200 is 230020232311.

It can be written as a sum of positive squares in 6 ways, for example, as 4396704436224 + 6926497566976 = 2096832^2 + 2631824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9370009 + ... + 10509208.

It is an arithmetic number, because the mean of its divisors is an integer number (262422243615).

Almost surely, 211323202003200 is an apocalyptic number.

11323202003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11323202003200 is an abundant number, since it is smaller than the sum of its proper divisors (17018400307220).

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

11323202003200 is an equidigital number, since it uses as much as digits as its factorization.

11323202003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19879332 (or 19879313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 11323202003200 its reverse (230020232311), we get a palindrome (11553222235511).

The spelling of 11323202003200 in words is "eleven trillion, three hundred twenty-three billion, two hundred two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 128 160 178 200 256 320 356 400 445 640 712 800 890 1280 1424 1600 1780 2225 2848 3200 3560 4450 5696 6400 7120 8900 11392 14240 17800 22784 28480 35600 56960 71200 113920 142400 284800 569600 19879217 39758434 79516868 99396085 159033736 198792170 318067472 397584340 496980425 636134944 795168680 993960850 1272269888 1590337360 1769250313 1987921700 2544539776 3180674720 3538500626 3975843400 5089079552 6361349440 7077001252 7951686800 8846251565 12722698880 14154002504 15903373600 17692503130 25445397760 28308005008 31806747200 35385006260 44231257825 56616010016 63613494400 70770012520 88462515650 113232020032 127226988800 141540025040 176925031300 226464040064 283080050080 353850062600 452928080128 566160100160 707700125200 1132320200320 1415400250400 2264640400640 2830800500800 5661601001600 11323202003200