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11000150505 = 3253717338189
BaseRepresentation
bin10100011111010100…
…01111100111101001
31001101121201112200200
422033222033213221
5140012014304010
65015311222413
7536410510431
oct121752174751
931347645620
1011000150505
114735330983
12216bb17a09
131063c7acc6
14764d0d2c1
15445abdcc0
hex28fa8f9e9

11000150505 has 48 divisors (see below), whose sum is σ = 19695957840. Its totient is φ = 5675042304.

The previous prime is 11000150459. The next prime is 11000150507. The reversal of 11000150505 is 50505100011.

11000150505 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 150 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 279825984 + 10720324521 = 16728^2 + 103539^2 .

It is not a de Polignac number, because 11000150505 - 211 = 11000148457 is a prime.

It is a super-2 number, since 2×110001505052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000150507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268951 + ... + 307139.

It is an arithmetic number, because the mean of its divisors is an integer number (410332455).

Almost surely, 211000150505 is an apocalyptic number.

11000150505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11000150505 is a deficient number, since it is larger than the sum of its proper divisors (8695807335).

11000150505 is a wasteful number, since it uses less digits than its factorization.

11000150505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38410 (or 38407 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 11000150505 its reverse (50505100011), we get a palindrome (61505250516).

The spelling of 11000150505 in words is "eleven billion, one hundred fifty thousand, five hundred five".

Divisors: 1 3 5 9 15 37 45 111 173 185 333 519 555 865 1557 1665 2595 6401 7785 19203 32005 38189 57609 96015 114567 190945 288045 343701 572835 1412993 1718505 4238979 6606697 7064965 12716937 19820091 21194895 33033485 59460273 63584685 99100455 244447789 297301365 733343367 1222238945 2200030101 3666716835 11000150505