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12203110304 = 2571137133853
BaseRepresentation
bin10110101110101110…
…01010111110100000
31011111110022020022022
423113113022332200
5144442444012204
65334523001012
7611255504030
oct132727127640
934443266268
1012203110304
1151a2379430
122446969168
1311c626a738
1483a9ad8c0
154b64e15be
hex2d75cafa0

12203110304 has 96 divisors (see below), whose sum is σ = 30762861696. Its totient is φ = 4625925120.

The previous prime is 12203110247. The next prime is 12203110363. The reversal of 12203110304 is 40301130221.

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 15 ways as a sum of consecutive naturals, for example, 24242 + ... + 158094.

It is an arithmetic number, because the mean of its divisors is an integer number (320446476).

Almost surely, 212203110304 is an apocalyptic number.

12203110304 is a gapful number since it is divisible by the number (14) 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 12203110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381430848).

12203110304 is an abundant number, since it is smaller than the sum of its proper divisors (18559751392).

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

12203110304 is a wasteful number, since it uses less digits than its factorization.

12203110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133918 (or 133910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12203110304 its reverse (40301130221), we get a palindrome (52504240525).

The spelling of 12203110304 in words is "twelve billion, two hundred three million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 45584 91168 133853 267706 535412 936971 1070824 1472383 1873942 2141648 2944766 3747884 4283296 4952561 5889532 7495768 9905122 10306681 11779064 14991536 19810244 20613362 23558128 29983072 34667927 39620488 41226724 47116256 54478171 69335854 79240976 82453448 108956342 138671708 158481952 164906896 217912684 277343416 329813792 381347197 435825368 554686832 762694394 871650736 1109373664 1525388788 1743301472 3050777576 6101555152 12203110304