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12230043100 = 225211172832311
BaseRepresentation
bin10110110001111011…
…11010010111011100
31011120022222120011021
423120331322113130
5200021342334400
65341324133524
7612033436222
oct133075722734
934508876137
1012230043100
1152065a4440
1224539972a4
1311cba0a5c2
148403c0b12
154b8a6171a
hex2d8f7a5dc

12230043100 has 144 divisors (see below), whose sum is σ = 30776530176. Its totient is φ = 4169088000.

The previous prime is 12230043061. The next prime is 12230043121. The reversal of 12230043100 is 134003221.

It is a happy number.

It is a super-2 number, since 2×122300431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5290945 + ... + 5293255.

It is an arithmetic number, because the mean of its divisors is an integer number (213725904).

Almost surely, 212230043100 is an apocalyptic number.

12230043100 is a gapful number since it is divisible by the number (10) 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 12230043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388265088).

12230043100 is an abundant number, since it is smaller than the sum of its proper divisors (18546487076).

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

12230043100 is a wasteful number, since it uses less digits than its factorization.

12230043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12230043100 its reverse (134003221), we get a palindrome (12364046321).

The spelling of 12230043100 in words is "twelve billion, two hundred thirty million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 283 340 374 425 550 566 748 850 935 1100 1132 1415 1700 1870 2311 2830 3113 3740 4622 4675 4811 5660 6226 7075 9244 9350 9622 11555 12452 14150 15565 18700 19244 23110 24055 25421 28300 31130 39287 46220 48110 50842 52921 57775 62260 77825 78574 96220 101684 105842 115550 120275 127105 155650 157148 196435 211684 231100 240550 254210 264605 311300 392870 432157 481100 508420 529210 635525 654013 785740 864314 982175 1058420 1271050 1308026 1323025 1728628 1964350 2160785 2542100 2616052 2646050 3270065 3928700 4321570 5292100 6540130 7194143 8643140 10803925 11118221 13080260 14388286 16350325 21607850 22236442 28776572 32700650 35970715 43215700 44472884 55591105 65401300 71941430 111182210 122300431 143882860 179853575 222364420 244600862 277955525 359707150 489201724 555911050 611502155 719414300 1111822100 1223004310 2446008620 3057510775 6115021550 12230043100