Search a number
-
+
12310033303200 = 2535222722595509
BaseRepresentation
bin1011001100100010011100…
…1010011000011010100000
31121120211100101102202001210
42303020213022120122200
53103141422011200300
642103052355430120
72410241046423603
oct263104712303240
947524311382053
1012310033303200
113a16723972316
1214699252b5340
136b3aa6099299
14307b4747233a
1516532b36a050
hexb32272986a0

12310033303200 has 144 divisors (see below), whose sum is σ = 40245676299360. Its totient is φ = 3268214277120.

The previous prime is 12310033303199. The next prime is 12310033303213. The reversal of 12310033303200 is 230333001321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10752955 + ... + 11842554.

It is an arithmetic number, because the mean of its divisors is an integer number (279483863190).

Almost surely, 212310033303200 is an apocalyptic number.

12310033303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310033303200 is an abundant number, since it is smaller than the sum of its proper divisors (27935642996160).

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

12310033303200 is a wasteful number, since it uses less digits than its factorization.

12310033303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595759 (or 22595746 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12310033303200 its reverse (230333001321), we get a palindrome (12540366304521).

The spelling of 12310033303200 in words is "twelve trillion, three hundred ten billion, thirty-three million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 227 240 300 400 454 480 600 681 800 908 1135 1200 1362 1816 2270 2400 2724 3405 3632 4540 5448 5675 6810 7264 9080 10896 11350 13620 17025 18160 21792 22700 27240 34050 36320 45400 54480 68100 90800 108960 136200 181600 272400 544800 22595509 45191018 67786527 90382036 112977545 135573054 180764072 225955090 271146108 338932635 361528144 451910180 542292216 564887725 677865270 723056288 903820360 1084584432 1129775450 1355730540 1694663175 1807640720 2169168864 2259550900 2711461080 3389326350 3615281440 4519101800 5129180543 5422922160 6778652700 9038203600 10258361086 10845844320 13557305400 15387541629 18076407200 20516722172 25645902715 27114610800 30775083258 41033444344 51291805430 54229221600 61550166516 76937708145 82066888688 102583610860 123100333032 128229513575 153875416290 164133777376 205167221720 246200666064 256459027150 307750832580 384688540725 410334443440 492401332128 512918054300 615501665160 769377081450 820668886880 1025836108600 1231003330320 1538754162900 2051672217200 2462006660640 3077508325800 4103344434400 6155016651600 12310033303200