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11022230300 = 22526167149181
BaseRepresentation
bin10100100001111100…
…11110001100011100
31001110011021022110212
422100332132030130
5140033142332200
65021420351552
7540066261134
oct122076361434
931404238425
1011022230300
114746841844
1221773a55b8
13106870bc83
14767c19ac4
154479d1035
hex290f9e31c

11022230300 has 144 divisors (see below), whose sum is σ = 24976005600. Its totient is φ = 4219776000.

The previous prime is 11022230299. The next prime is 11022230321. The reversal of 11022230300 is 303222011.

It is a happy number.

11022230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 60896210 + ... + 60896390.

Almost surely, 211022230300 is an apocalyptic number.

11022230300 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 11022230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488002800).

11022230300 is an abundant number, since it is smaller than the sum of its proper divisors (13953775300).

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

11022230300 is a wasteful number, since it uses less digits than its factorization.

11022230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

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

Adding to 11022230300 its reverse (303222011), we get a palindrome (11325452311).

The spelling of 11022230300 in words is "eleven billion, twenty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 67 100 122 134 149 181 244 268 298 305 335 362 596 610 670 724 745 905 1220 1340 1490 1525 1675 1810 2980 3050 3350 3620 3725 4087 4525 6100 6700 7450 8174 9050 9089 9983 11041 12127 14900 16348 18100 18178 19966 20435 22082 24254 26969 36356 39932 40870 44164 45445 48508 49915 53938 55205 60635 81740 90890 99830 102175 107876 110410 121270 134845 181780 199660 204350 220820 227225 242540 249575 269690 276025 303175 408700 454450 499150 539380 552050 606350 608963 674225 739747 908900 998300 1104100 1212700 1217926 1348450 1479494 1645109 1806923 2435852 2696900 2958988 3044815 3290218 3613846 3698735 6089630 6580436 7227692 7397470 8225545 9034615 12179260 14794940 15224075 16451090 18069230 18493675 30448150 32902180 36138460 36987350 41127725 45173075 60896300 73974700 82255450 90346150 110222303 164510900 180692300 220444606 440889212 551111515 1102223030 2204446060 2755557575 5511115150 11022230300