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12223100300 = 22521738318773
BaseRepresentation
bin10110110001000110…
…11011010110001100
31011112211220211102112
423120203123112030
5200013103202200
65340515243152
7611620431635
oct133043332614
934484824375
1012223100300
115202692194
1224515a94b8
1311ca449438
1483d4d488c
154b813e535
hex2d88db58c

12223100300 has 72 divisors (see below), whose sum is σ = 28159197696. Its totient is φ = 4589378560.

The previous prime is 12223100251. The next prime is 12223100341. The reversal of 12223100300 is 300132221.

It is a happy number.

12223100300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 641714 + ... + 660486.

It is an arithmetic number, because the mean of its divisors is an integer number (391099968).

Almost surely, 212223100300 is an apocalyptic number.

12223100300 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 12223100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079598848).

12223100300 is an abundant number, since it is smaller than the sum of its proper divisors (15936097396).

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

12223100300 is a wasteful number, since it uses less digits than its factorization.

12223100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19187 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12223100300 its reverse (300132221), we get a palindrome (12523232521).

The spelling of 12223100300 in words is "twelve billion, two hundred twenty-three million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 383 425 766 850 1532 1700 1915 3830 6511 7660 9575 13022 18773 19150 26044 32555 37546 38300 65110 75092 93865 130220 162775 187730 319141 325550 375460 469325 638282 651100 938650 1276564 1595705 1877300 3191410 6382820 7190059 7978525 14380118 15957050 28760236 31914100 35950295 71900590 122231003 143801180 179751475 244462006 359502950 488924012 611155015 719005900 1222310030 2444620060 3055775075 6111550150 12223100300