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11111010112 = 264397107389
BaseRepresentation
bin10100101100100010…
…01000111101000000
31001200100022210111001
422112101020331000
5140223404310422
65034311301344
7542225012326
oct122621107500
931610283431
1011111010112
11479196a394
1221a107a854
131080c246c7
14775929d16
154506bb227
hex296448f40

11111010112 has 112 divisors (see below), whose sum is σ = 23065922880. Its totient is φ = 5306499072.

The previous prime is 11111010103. The next prime is 11111010143. The reversal of 11111010112 is 21101011111.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28562814 + ... + 28563202.

It is an arithmetic number, because the mean of its divisors is an integer number (205945740).

Almost surely, 211111010112 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 11111010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532961440).

11111010112 is an abundant number, since it is smaller than the sum of its proper divisors (11954912768).

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

11111010112 is a wasteful number, since it uses less digits than its factorization.

11111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11111010112 its reverse (21101011111), we get a palindrome (32212021223).

Subtracting 11111010112 from its reverse (21101011111), we obtain a palindrome (9990000999).

The spelling of 11111010112 in words is "eleven billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 97 107 172 194 214 344 388 389 428 688 776 778 856 1376 1552 1556 1712 2752 3104 3112 3424 4171 4601 6208 6224 6848 8342 9202 10379 12448 16684 16727 18404 20758 24896 33368 33454 36808 37733 41516 41623 66736 66908 73616 75466 83032 83246 133472 133816 147232 150932 166064 166492 266944 267632 294464 301864 332128 332984 446297 535264 603728 664256 665968 892594 1070528 1207456 1331936 1622519 1785188 1789789 2414912 2663872 3245038 3570376 3579578 4037431 6490076 7140752 7159156 8074862 12980152 14281504 14318312 16149724 25960304 28563008 28636624 32299448 51920608 57273248 64598896 103841216 114546496 129197792 173609533 258395584 347219066 694438132 1388876264 2777752528 5555505056 11111010112