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12230410300 = 22521771107947
BaseRepresentation
bin10110110001111110…
…10100000000111100
31011120100200012212021
423120333110000330
5200021441112200
65341340045524
7612036525613
oct133077240074
934510605767
1012230410300
115206825309
122453b338a4
1311cbb08794
1484047887a
154b8ad541a
hex2d8fd403c

12230410300 has 144 divisors (see below), whose sum is σ = 28793657088. Its totient is φ = 4492364800.

The previous prime is 12230410267. The next prime is 12230410301. The reversal of 12230410300 is 301403221.

It is a happy number.

12230410300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122304103002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230410301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12914427 + ... + 12915373.

It is an arithmetic number, because the mean of its divisors is an integer number (199955952).

Almost surely, 212230410300 is an apocalyptic number.

12230410300 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 12230410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396828544).

12230410300 is an abundant number, since it is smaller than the sum of its proper divisors (16563246788).

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

12230410300 is a wasteful number, since it uses less digits than its factorization.

12230410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1149 counting only the distinct ones).

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

Adding to 12230410300 its reverse (301403221), we get a palindrome (12531813521).

The spelling of 12230410300 in words is "twelve billion, two hundred thirty million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 107 142 170 214 284 340 355 425 428 535 710 850 947 1070 1207 1420 1700 1775 1819 1894 2140 2414 2675 3550 3638 3788 4735 4828 5350 6035 7100 7276 7597 9095 9470 10700 12070 15194 16099 18190 18940 23675 24140 30175 30388 32198 36380 37985 45475 47350 60350 64396 67237 75970 80495 90950 94700 101329 120700 129149 134474 151940 160990 181900 189925 202658 258298 268948 321980 336185 379850 402475 405316 506645 516596 645745 672370 759700 804950 1013290 1143029 1291490 1344740 1609900 1680925 1722593 2026580 2286058 2533225 2582980 3228725 3361850 3445186 4572116 5066450 5715145 6457450 6723700 6890372 7194359 8612965 10132900 11430290 12914900 14388718 17225930 22860580 28575725 28777436 34451860 35971795 43064825 57151450 71943590 86129650 114302900 122304103 143887180 172259300 179858975 244608206 359717950 489216412 611520515 719435900 1223041030 2446082060 3057602575 6115205150 12230410300