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11000011100100 = 22352113790090181
BaseRepresentation
bin1010000000010010001111…
…0000010000111111000100
31102221120221200112121210020
42200010203300100333010
52420211010320200400
635221200233255140
72213503346424201
oct240044360207704
942846850477706
1011000011100100
113561095550650
121297a615644b0
1361a3b180c569
142a0590c24ca8
1514120764d2a0
hexa0123c10fc4

11000011100100 has 144 divisors (see below), whose sum is σ = 35658414757056. Its totient is φ = 2594597184000.

The previous prime is 11000011100093. The next prime is 11000011100129. The reversal of 11000011100100 is 100111000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44922991 + ... + 45167190.

Almost surely, 211000011100100 is an apocalyptic number.

11000011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000011100100 is an abundant number, since it is smaller than the sum of its proper divisors (24658403656956).

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

11000011100100 is a wasteful number, since it uses less digits than its factorization.

11000011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90090246 (or 90090239 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000011100100 its reverse (100111000011), we get a palindrome (11100122100111).

It can be divided in two parts, 11000011 and 100100, that added together give a palindrome (11100111).

The spelling of 11000011100100 in words is "eleven trillion, eleven million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 90090181 180180362 270270543 360360724 450450905 540541086 900901810 990991991 1081082172 1351352715 1801803620 1981983982 2252254525 2702705430 2972975973 3333336697 3963967964 4504509050 4954959955 5405410860 5945951946 6666673394 6756763575 9009018100 9909919910 10000010091 11891903892 13333346788 13513527150 14864879865 16666683485 19819839820 20000020182 24774799775 27027054300 29729759730 33333366970 36666703667 40000040364 49549599550 50000050455 59459519460 66666733940 73333407334 74324399325 83333417425 99099199100 100000100910 110000111001 146666814668 148648798650 166666834850 183333518335 200000201820 220000222002 250000252275 297297597300 333333669700 366667036670 440000444004 500000504550 550000555005 733334073340 916667591675 1000001009100 1100001110010 1833335183350 2200002220020 2750002775025 3666670366700 5500005550050 11000011100100