Search a number
-
+
11006051060 = 225550302553
BaseRepresentation
bin10100100000000001…
…10000001011110100
31001102000211022201202
422100000300023310
5140020022113220
65020041512032
7536511614264
oct122000601364
931360738652
1011006051060
1147386a1074
122171aa2618
131065265964
14765a077a4
15446387275
hex2900302f4

11006051060 has 12 divisors (see below), whose sum is σ = 23112707268. Its totient is φ = 4402420416.

The previous prime is 11006051051. The next prime is 11006051081. The reversal of 11006051060 is 6015060011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8003449444 + 3002601616 = 89462^2 + 54796^2 .

It is a super-2 number, since 2×110060510602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 550302553 = 11006051060 / (1 + 1 + 0 + 0 + 6 + 0 + 5 + 1 + 0 + 6 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275151257 + ... + 275151296.

It is an arithmetic number, because the mean of its divisors is an integer number (1926058939).

Almost surely, 211006051060 is an apocalyptic number.

11006051060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006051060 is an abundant number, since it is smaller than the sum of its proper divisors (12106656208).

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

11006051060 is a wasteful number, since it uses less digits than its factorization.

11006051060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550302562 (or 550302560 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 11006051060 in words is "eleven billion, six million, fifty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 550302553 1100605106 2201210212 2751512765 5503025530 11006051060