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11124203000 = 2353234331117
BaseRepresentation
bin10100101110000110…
…11101110111111000
31001201021011001201112
422113003131313320
5140240243444000
65035502135452
7542445110501
oct122703356770
931637131645
1011124203000
1147993603a9
1221a5581588
131083893651
147775a1ba8
15451925235
hex2970dddf8

11124203000 has 128 divisors (see below), whose sum is σ = 27249505920. Its totient is φ = 4242585600.

The previous prime is 11124202993. The next prime is 11124203017. The reversal of 11124203000 is 30242111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9958442 + ... + 9959558.

It is an arithmetic number, because the mean of its divisors is an integer number (212886765).

Almost surely, 211124203000 is an apocalyptic number.

11124203000 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 11124203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624752960).

11124203000 is an abundant number, since it is smaller than the sum of its proper divisors (16125302920).

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

11124203000 is a wasteful number, since it uses less digits than its factorization.

11124203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1580 counting only the distinct ones).

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

Adding to 11124203000 its reverse (30242111), we get a palindrome (11154445111).

The spelling of 11124203000 in words is "eleven billion, one hundred twenty-four million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 433 460 500 575 866 920 1000 1117 1150 1732 2165 2234 2300 2875 3464 4330 4468 4600 5585 5750 8660 8936 9959 10825 11170 11500 17320 19918 21650 22340 23000 25691 27925 39836 43300 44680 49795 51382 54125 55850 79672 86600 99590 102764 108250 111700 128455 139625 199180 205528 216500 223400 248975 256910 279250 398360 433000 483661 497950 513820 558500 642275 967322 995900 1027640 1117000 1244875 1284550 1934644 1991800 2418305 2489750 2569100 3211375 3869288 4836610 4979500 5138200 6422750 9673220 9959000 11124203 12091525 12845500 19346440 22248406 24183050 25691000 44496812 48366100 55621015 60457625 88993624 96732200 111242030 120915250 222484060 241830500 278105075 444968120 483661000 556210150 1112420300 1390525375 2224840600 2781050750 5562101500 11124203000