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11311004442105 = 3252281711016157
BaseRepresentation
bin1010010010011000110001…
…1001101101110111111001
31111001022200100101021201100
42210212030121231313321
52440304414114121410
640020112000042013
72245123143262404
oct244461431556771
944038610337640
1011311004442105
113670a74148465
121328194603309
13640814074164
142b1653dc2d3b
15149359ed38c0
hexa498c66ddf9

11311004442105 has 24 divisors (see below), whose sum is σ = 19606602073032. Its totient is φ = 6032270767104.

The previous prime is 11311004442079. The next prime is 11311004442121. The reversal of 11311004442105 is 50124440011311.

It is a happy number.

11311004442105 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 0 + 0 + 444 + 210 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5697616233024 + 5613388209081 = 2386968^2 + 2369259^2 .

It is not a de Polignac number, because 11311004442105 - 213 = 11311004433913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4481314 + ... + 6534843.

It is an arithmetic number, because the mean of its divisors is an integer number (816941753043).

Almost surely, 211311004442105 is an apocalyptic number.

11311004442105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11311004442105 is a deficient number, since it is larger than the sum of its proper divisors (8295597630927).

11311004442105 is a wasteful number, since it uses less digits than its factorization.

11311004442105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038985 (or 11038982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11311004442105 its reverse (50124440011311), we get a palindrome (61435444453416).

The spelling of 11311004442105 in words is "eleven trillion, three hundred eleven billion, four million, four hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 22817 68451 114085 205353 342255 1026765 11016157 33048471 55080785 99145413 165242355 495727065 251355654269 754066962807 1256778271345 2262200888421 3770334814035 11311004442105