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11123103200 = 2552114130829
BaseRepresentation
bin10100101101111110…
…10001010111100000
31001201012002012002012
422112333101113200
5140240003300300
65035422412052
7542432550206
oct122677212740
931635065065
1011123103200
11479877a080
1221a5131028
131083599b91
14777397076
154517a9435
hex296fd15e0

11123103200 has 144 divisors (see below), whose sum is σ = 30346338960. Its totient is φ = 3945984000.

The previous prime is 11123103191. The next prime is 11123103227. The reversal of 11123103200 is 230132111.

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, 345386 + ... + 376214.

It is an arithmetic number, because the mean of its divisors is an integer number (210738465).

Almost surely, 211123103200 is an apocalyptic number.

11123103200 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 11123103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173169480).

11123103200 is an abundant number, since it is smaller than the sum of its proper divisors (19223235760).

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

11123103200 is a wasteful number, since it uses less digits than its factorization.

11123103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30901 (or 30888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11123103200 its reverse (230132111), we get a palindrome (11353235311).

The spelling of 11123103200 in words is "eleven billion, one hundred twenty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 160 164 176 200 205 220 275 328 352 400 410 440 451 550 656 800 820 880 902 1025 1100 1312 1640 1760 1804 2050 2200 2255 3280 3608 4100 4400 4510 6560 7216 8200 8800 9020 11275 14432 16400 18040 22550 30829 32800 36080 45100 61658 72160 90200 123316 154145 180400 246632 308290 339119 360800 493264 616580 678238 770725 986528 1233160 1263989 1356476 1541450 1695595 2466320 2527978 2712952 3082900 3391190 4932640 5055956 5425904 6165800 6319945 6782380 8477975 10111912 10851808 12331600 12639890 13564760 13903879 16955950 20223824 24663200 25279780 27129520 27807758 31599725 33911900 40447648 50559560 54259040 55615516 63199450 67823800 69519395 101119120 111231032 126398900 135647600 139038790 202238240 222462064 252797800 271295200 278077580 347596975 444924128 505595600 556155160 695193950 1011191200 1112310320 1390387900 2224620640 2780775800 5561551600 11123103200