Search a number
-
+
11101010110112 = 2513711607233881
BaseRepresentation
bin1010000110001010011111…
…0000111010011010100000
31110022020122110222221010202
42201202213300322122200
52423334332042010422
635335422244444332
72224010244021266
oct241424760723240
943266573887122
1011101010110112
11359aa0389375a
1212b35499a96a8
13626a892a0690
142a5412816436
15143b69420b92
hexa18a7c3a6a0

11101010110112 has 96 divisors (see below), whose sum is σ = 23882727585024. Its totient is φ = 5048215603200.

The previous prime is 11101010110039. The next prime is 11101010110139. The reversal of 11101010110112 is 21101101010111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11101010110093 and 11101010110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47347412 + ... + 47581292.

It is an arithmetic number, because the mean of its divisors is an integer number (248778412344).

Almost surely, 211101010110112 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 11101010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941363792512).

11101010110112 is an abundant number, since it is smaller than the sum of its proper divisors (12781717474912).

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

11101010110112 is a wasteful number, since it uses less digits than its factorization.

11101010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235582 (or 235574 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11101010110112 its reverse (21101101010111), we get a palindrome (32202111120223).

The spelling of 11101010110112 in words is "eleven trillion, one hundred one billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1607 1846 2272 3214 3692 6428 7384 12856 14768 20891 25712 29536 41782 51424 83564 114097 167128 228194 233881 334256 456388 467762 668512 912776 935524 1483261 1825552 1871048 2966522 3040453 3651104 3742096 5933044 6080906 7484192 11866088 12161812 16605551 23732176 24323624 33211102 47464352 48647248 66422204 97294496 132844408 215872163 265688816 375846767 431744326 531377632 751693534 863488652 1503387068 1726977304 3006774136 3453954608 4886007971 6013548272 6907909216 9772015942 12027096544 19544031884 26685120457 39088063768 53370240914 78176127536 106740481828 156352255072 213480963656 346906565941 426961927312 693813131882 853923854624 1387626263764 2775252527528 5550505055056 11101010110112