Search a number
-
+
11111110112 = 2523291274099
BaseRepresentation
bin10100101100100011…
…00001010111100000
31001200100111212122202
422112101201113200
5140223421010422
65034313352332
7542225610014
oct122621412740
931610455582
1011111110112
114791a28533
1221a11086a8
131080c5b08b
14775954544
154506dab92
hex2964615e0

11111110112 has 96 divisors (see below), whose sum is σ = 23804928000. Its totient is φ = 5089125888.

The previous prime is 11111110103. The next prime is 11111110133. The reversal of 11111110112 is 21101111111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11111110093 and 11111110102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708639 + ... + 2712737.

It is an arithmetic number, because the mean of its divisors is an integer number (247968000).

Almost surely, 211111110112 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 11111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902464000).

11111110112 is an abundant number, since it is smaller than the sum of its proper divisors (12693817888).

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

11111110112 is a wasteful number, since it uses less digits than its factorization.

11111110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

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

Adding to 11111110112 its reverse (21101111111), we get a palindrome (32212221223).

Subtracting 11111110112 from its reverse (21101111111), we obtain a palindrome (9990000999).

The spelling of 11111110112 in words is "eleven billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 127 184 232 254 368 464 508 667 736 928 1016 1334 2032 2668 2921 3683 4064 4099 5336 5842 7366 8198 10672 11684 14732 16396 21344 23368 29464 32792 46736 58928 65584 84709 93472 94277 117856 118871 131168 169418 188554 237742 338836 377108 475484 520573 677672 754216 950968 1041146 1355344 1508432 1901936 2082292 2710688 2734033 3016864 3803872 4164584 5468066 8329168 10936132 11973179 15096617 16658336 21872264 23946358 30193234 43744528 47892716 60386468 87489056 95785432 120772936 191570864 241545872 347222191 383141728 483091744 694444382 1388888764 2777777528 5555555056 11111110112