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11011110012 = 2232772760103
BaseRepresentation
bin10100100000101000…
…00011010001111100
31001102101100100022100
422100110003101330
5140022321010022
65020342145100
7536602614360
oct122024032174
931371310270
1011011110012
114740536a21
122173722190
131066317516
147665632a0
15446a361ac
hex29050347c

11011110012 has 72 divisors (see below), whose sum is σ = 31854158336. Its totient is φ = 3141651744.

The previous prime is 11011109971. The next prime is 11011110013. The reversal of 11011110012 is 21001111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011109976 and 11011110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153153 + ... + 213255.

Almost surely, 211011110012 is an apocalyptic number.

11011110012 is a gapful number since it is divisible by the number (12) 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 11011110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927079168).

11011110012 is an abundant number, since it is smaller than the sum of its proper divisors (20843048324).

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

11011110012 is a wasteful number, since it uses less digits than its factorization.

11011110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60847 (or 60842 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011110012 its reverse (21001111011), we get a palindrome (32012221023).

Subtracting 11011110012 from its reverse (21001111011), we obtain a palindrome (9990000999).

The spelling of 11011110012 in words is "eleven billion, eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 727 1454 2181 2908 4362 5089 6543 8724 10178 13086 15267 20356 26172 30534 45801 60103 61068 91602 120206 180309 183204 240412 360618 420721 540927 721236 841442 1081854 1262163 1682884 2163708 2524326 3786489 5048652 7572978 15145956 43694881 87389762 131084643 174779524 262169286 305864167 393253929 524338572 611728334 786507858 917592501 1223456668 1573015716 1835185002 2752777503 3670370004 5505555006 11011110012