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11011100016 = 2437291130039
BaseRepresentation
bin10100100000101000…
…00000110101110000
31001102101022211121010
422100110000311300
5140022320200031
65020342030520
7536602543260
oct122024006560
931371284533
1011011100016
11474052a464
122173718440
131066312ac7
1476655d7a0
15446a33246
hex290500d70

11011100016 has 80 divisors (see below), whose sum is σ = 33629990400. Its totient is φ = 3037542144.

The previous prime is 11011100003. The next prime is 11011100047. The reversal of 11011100016 is 61000111011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11011099974 and 11011100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555276 + ... + 574763.

It is an arithmetic number, because the mean of its divisors is an integer number (420374880).

Almost surely, 211011100016 is an apocalyptic number.

11011100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11011100016 is an abundant number, since it is smaller than the sum of its proper divisors (22618890384).

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

11011100016 is a wasteful number, since it uses less digits than its factorization.

11011100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130086 (or 1130080 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11011100016 its reverse (61000111011), we get a palindrome (72011211027).

The spelling of 11011100016 in words is "eleven billion, eleven million, one hundred thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 1130039 2260078 3390117 4520156 6780234 7910273 9040312 13560468 15820546 18080624 23730819 27120936 31641092 32771131 47461638 54241872 63282184 65542262 94923276 98313393 126564368 131084524 189846552 196626786 229397917 262169048 379693104 393253572 458795834 524338096 688193751 786507144 917591668 1376387502 1573014288 1835183336 2752775004 3670366672 5505550008 11011100016