Search a number
-
+
11010120136416 = 253238229583807
BaseRepresentation
bin1010000000110111111001…
…0011001011011011100000
31102222120001012110212121200
42200031332103023123200
52420342211223331131
635225551313121200
72214312020005242
oct240157623133340
942876035425550
1011010120136416
113565402869215
121299a02b59200
1361b332c8555b
142a0c6d64c092
151415e9d982e6
hexa037e4cb6e0

11010120136416 has 36 divisors (see below), whose sum is σ = 31310029138752. Its totient is φ = 3670040045376.

The previous prime is 11010120136409. The next prime is 11010120136459. The reversal of 11010120136416 is 61463102101011.

11010120136416 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 1 + 2 + 0 + 13 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11010120136416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19114791616 + ... + 19114792191.

It is an arithmetic number, because the mean of its divisors is an integer number (869723031632).

Almost surely, 211010120136416 is an apocalyptic number.

11010120136416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11010120136416 is an abundant number, since it is smaller than the sum of its proper divisors (20299909002336).

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

11010120136416 is a wasteful number, since it uses less digits than its factorization.

11010120136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229583823 (or 38229583812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 11010120136416 its reverse (61463102101011), we get a palindrome (72473222237427).

The spelling of 11010120136416 in words is "eleven trillion, ten billion, one hundred twenty million, one hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38229583807 76459167614 114688751421 152918335228 229377502842 305836670456 344066254263 458755005684 611673340912 688132508526 917510011368 1223346681824 1376265017052 1835020022736 2752530034104 3670040045472 5505060068208 11010120136416