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11112144400 = 2452712731249
BaseRepresentation
bin10100101100101010…
…11101111000010000
31001200102110102102201
422112111131320100
5140224202110100
65034351452544
7542240445310
oct122625357020
931612412381
1011112144400
114792574615
1221a1527154
131081230a96
14775b43440
1545084236a
hex29655de10

11112144400 has 120 divisors (see below), whose sum is σ = 30752000000. Its totient is φ = 3779758080.

The previous prime is 11112144359. The next prime is 11112144413. The reversal of 11112144400 is 444121111.

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, 339976 + ... + 371224.

Almost surely, 211112144400 is an apocalyptic number.

11112144400 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 11112144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376000000).

11112144400 is an abundant number, since it is smaller than the sum of its proper divisors (19639855600).

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

11112144400 is a wasteful number, since it uses less digits than its factorization.

11112144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31401 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11112144400 its reverse (444121111), we get a palindrome (11556265511).

The spelling of 11112144400 in words is "eleven billion, one hundred twelve million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 127 140 175 200 254 280 350 400 508 560 635 700 889 1016 1270 1400 1778 2032 2540 2800 3175 3556 4445 5080 6350 7112 8890 10160 12700 14224 17780 22225 25400 31249 35560 44450 50800 62498 71120 88900 124996 156245 177800 218743 249992 312490 355600 437486 499984 624980 781225 874972 1093715 1249960 1562450 1749944 2187430 2499920 3124900 3499888 3968623 4374860 5468575 6249800 7937246 8749720 10937150 12499600 15874492 17499440 19843115 21874300 27780361 31748984 39686230 43748600 55560722 63497968 79372460 87497200 99215575 111121444 138901805 158744920 198431150 222242888 277803610 317489840 396862300 444485776 555607220 694509025 793724600 1111214440 1389018050 1587449200 2222428880 2778036100 5556072200 11112144400