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11000215305 = 3253174310613
BaseRepresentation
bin10100011111010100…
…11111011100001001
31001101121211211120200
422033222133130021
5140012023342210
65015312442413
7536411200362
oct121752373411
931347754520
1011000215305
114735375632
12216bb49409
131063ca1651
14764d28b69
15445ad30c0
hex28fa9f709

11000215305 has 48 divisors (see below), whose sum is σ = 19710452736. Its totient is φ = 5669354880.

The previous prime is 11000215283. The next prime is 11000215307. The reversal of 11000215305 is 50351200011.

11000215305 is a `hidden beast` number, since 110 + 0 + 0 + 21 + 530 + 5 = 666.

It is not a de Polignac number, because 11000215305 - 25 = 11000215273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000215307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1031179 + ... + 1041791.

It is an arithmetic number, because the mean of its divisors is an integer number (410634432).

Almost surely, 211000215305 is an apocalyptic number.

11000215305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11000215305 is a deficient number, since it is larger than the sum of its proper divisors (8710237431).

11000215305 is a wasteful number, since it uses less digits than its factorization.

11000215305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11000215305 its reverse (50351200011), we get a palindrome (61351415316).

The spelling of 11000215305 in words is "eleven billion, two hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 743 1395 2229 3715 6687 10613 11145 23033 31839 33435 53065 69099 95517 115165 159195 207297 329003 345495 477585 987009 1036485 1645015 2961027 4935045 7885459 14805135 23656377 39427295 70969131 118281885 244449229 354845655 733347687 1222246145 2200043061 3666738435 11000215305