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11004242200 = 235279418353
BaseRepresentation
bin10100011111110011…
…10110100100011000
31001101220102102102221
422033321312210120
5140014041222300
65015535033424
7536460341530
oct121771664430
931356372387
1011004242200
114737676046
12217136b874
131064a81523
147656964c0
1544612b31a
hex28fe76918

11004242200 has 96 divisors (see below), whose sum is σ = 29274420960. Its totient is φ = 3768422400.

The previous prime is 11004242177. The next prime is 11004242231. The reversal of 11004242200 is 224240011.

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, 1313224 + ... + 1321576.

It is an arithmetic number, because the mean of its divisors is an integer number (304941885).

Almost surely, 211004242200 is an apocalyptic number.

11004242200 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 11004242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637210480).

11004242200 is an abundant number, since it is smaller than the sum of its proper divisors (18270178760).

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

11004242200 is a wasteful number, since it uses less digits than its factorization.

11004242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11004242200 its reverse (224240011), we get a palindrome (11228482211).

The spelling of 11004242200 in words is "eleven billion, four million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 941 1400 1882 3764 4705 6587 7528 8353 9410 13174 16706 18820 23525 26348 32935 33412 37640 41765 47050 52696 58471 65870 66824 83530 94100 116942 131740 164675 167060 188200 208825 233884 263480 292355 329350 334120 417650 467768 584710 658700 835300 1169420 1317400 1461775 1670600 2338840 2923550 5847100 7860173 11694200 15720346 31440692 39300865 55021211 62881384 78601730 110042422 157203460 196504325 220084844 275106055 314406920 393008650 440169688 550212110 786017300 1100424220 1375530275 1572034600 2200848440 2751060550 5502121100 11004242200