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11011100101100 = 22521141244148561
BaseRepresentation
bin1010000000111011100010…
…1101011100100111101100
31102222122120111110020102222
42200032320231130213230
52420401213111213400
635230232441134512
72214345216402161
oct240167055344754
942878514406388
1011011100101100
113565865a48190
12129a03718a438
1361b45acc9208
142a0d23862068
15141655e1d185
hexa03b8b5c9ec

11011100101100 has 72 divisors (see below), whose sum is σ = 26702039928816. Its totient is φ = 3906376960000.

The previous prime is 11011100101091. The next prime is 11011100101117. The reversal of 11011100101100 is 110100111011.

11011100101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 122029181 + ... + 122119380.

It is an arithmetic number, because the mean of its divisors is an integer number (370861665678).

Almost surely, 211011100101100 is an apocalyptic number.

11011100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011100101100 is an abundant number, since it is smaller than the sum of its proper divisors (15690939827716).

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

11011100101100 is a wasteful number, since it uses less digits than its factorization.

11011100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244148627 (or 244148620 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11011100101100 its reverse (110100111011), we get a palindrome (11121200212111).

The spelling of 11011100101100 in words is "eleven trillion, eleven billion, one hundred million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 244148561 488297122 976594244 1220742805 2441485610 2685634171 4882971220 5371268342 6103714025 10010091001 10742536684 12207428050 13428170855 20020182002 24414856100 26856341710 40040364004 50050455005 53712683420 67140854275 100100910010 110111001011 134281708550 200201820020 220222002022 250252275025 268563417100 440444004044 500504550050 550555005055 1001009100100 1101110010110 2202220020220 2752775025275 5505550050550 11011100101100