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11232102200 = 23521146311027
BaseRepresentation
bin10100111010111110…
…00100011100111000
31001222210011220121012
422131133010130320
5141000404232300
65054314533052
7545225202434
oct123537043470
931883156535
1011232102200
1148442576a0
122215737188
1310a0041727
14787a4b9c4
1545b13a435
hex29d7c4738

11232102200 has 96 divisors (see below), whose sum is σ = 28552815360. Its totient is φ = 4075209600.

The previous prime is 11232102137. The next prime is 11232102229. The reversal of 11232102200 is 220123211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013087 + ... + 1024113.

It is an arithmetic number, because the mean of its divisors is an integer number (297425160).

Almost surely, 211232102200 is an apocalyptic number.

11232102200 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 11232102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276407680).

11232102200 is an abundant number, since it is smaller than the sum of its proper divisors (17320713160).

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

11232102200 is a wasteful number, since it uses less digits than its factorization.

11232102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11517 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11232102200 its reverse (220123211), we get a palindrome (11452225411).

The spelling of 11232102200 in words is "eleven billion, two hundred thirty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 463 550 926 1100 1852 2200 2315 3704 4630 5093 9260 10186 11027 11575 18520 20372 22054 23150 25465 40744 44108 46300 50930 55135 88216 92600 101860 110270 121297 127325 203720 220540 242594 254650 275675 441080 485188 509300 551350 606485 970376 1018600 1102700 1212970 2205400 2425940 3032425 4851880 5105501 6064850 10211002 12129700 20422004 24259400 25527505 40844008 51055010 56160511 102110020 112321022 127637525 204220040 224642044 255275050 280802555 449284088 510550100 561605110 1021100200 1123210220 1404012775 2246420440 2808025550 5616051100 11232102200