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11010010112 = 210411911373
BaseRepresentation
bin10100100000011111…
…10110110000000000
31001102022021110112022
422100033312300000
5140022030310422
65020302421012
7536560353563
oct122017666000
931368243468
1011010010112
11473a955612
122173291768
1310660209aa
147663584da
154468ba342
hex2903f6c00

11010010112 has 88 divisors (see below), whose sum is σ = 22680628992. Its totient is φ = 5338726400.

The previous prime is 11010010091. The next prime is 11010010147. The reversal of 11010010112 is 21101001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11010010112.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8018258 + ... + 8019630.

Almost surely, 211010010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340314496).

11010010112 is an abundant number, since it is smaller than the sum of its proper divisors (11670618880).

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

11010010112 is a wasteful number, since it uses less digits than its factorization.

11010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010010112 its reverse (21101001011), we get a palindrome (32111011123).

It can be divided in two parts, 1101001011 and 2, that multiplied together give a palindrome (2202002022).

The spelling of 11010010112 in words is "eleven billion, ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 191 256 328 382 512 656 764 1024 1312 1373 1528 2624 2746 3056 5248 5492 6112 7831 10496 10984 12224 15662 20992 21968 24448 31324 41984 43936 48896 56293 62648 87872 97792 112586 125296 175744 195584 225172 250592 262243 351488 450344 501184 524486 702976 900688 1002368 1048972 1405952 1801376 2004736 2097944 3602752 4009472 4195888 7205504 8018944 8391776 10751963 14411008 16783552 21503926 28822016 33567104 43007852 57644032 67134208 86015704 134268416 172031408 268536832 344062816 688125632 1376251264 2752502528 5505005056 11010010112