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11110010112 = 28332297019
BaseRepresentation
bin10100101100011010…
…10100110100000000
31001200021102222202000
422112031110310000
5140223130310422
65034234024000
7542213346015
oct122615246400
931607388660
1011110010112
114791347043
1221a0878000
1310809644a6
1477574970c
1545056ecac
hex296354d00

11110010112 has 144 divisors (see below), whose sum is σ = 33002424000. Its totient is φ = 3686639616.

The previous prime is 11110010101. The next prime is 11110010117. The reversal of 11110010112 is 21101001111.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 11110010094 and 11110010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110010117) 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 15 ways as a sum of consecutive naturals, for example, 1579339 + ... + 1586357.

It is an arithmetic number, because the mean of its divisors is an integer number (229183500).

Almost surely, 211110010112 is an apocalyptic number.

11110010112 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 11110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501212000).

11110010112 is an abundant number, since it is smaller than the sum of its proper divisors (21892413888).

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

11110010112 is an equidigital number, since it uses as much as digits as its factorization.

11110010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7253 counting only the distinct ones).

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

Adding to 11110010112 its reverse (21101001111), we get a palindrome (32211011223).

Subtracting 11110010112 from its reverse (21101001111), we obtain a palindrome (9990990999).

The spelling of 11110010112 in words is "eleven billion, one hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 229 256 288 384 432 458 576 687 768 864 916 1152 1374 1728 1832 2061 2304 2748 3456 3664 4122 5496 6183 6912 7019 7328 8244 10992 12366 14038 14656 16488 21057 21984 24732 28076 29312 32976 42114 43968 49464 56152 58624 63171 65952 84228 87936 98928 112304 126342 131904 168456 175872 189513 197856 224608 252684 263808 336912 379026 395712 449216 505368 527616 673824 758052 791424 898432 1010736 1347648 1516104 1582848 1607351 1796864 2021472 2695296 3032208 3214702 4042944 4822053 5390592 6064416 6429404 8085888 9644106 12128832 12858808 14466159 16171776 19288212 24257664 25717616 28932318 38576424 43398477 48515328 51435232 57864636 77152848 86796954 102870464 115729272 154305696 173593908 205740928 231458544 308611392 347187816 411481856 462917088 617222784 694375632 925834176 1234445568 1388751264 1851668352 2777502528 3703336704 5555005056 11110010112