Search a number
-
+
11011000014 = 23272113110479
BaseRepresentation
bin10100100000100111…
…01000011011001110
31001102101010202102100
422100103220123032
5140022304000024
65020335535530
7536601645600
oct122023503316
931371122370
1011011000014
114740471313
12217368a5a6
1310662a9431
14766535170
15446a137c9
hex2904e86ce

11011000014 has 72 divisors (see below), whose sum is σ = 27998062560. Its totient is φ = 3118131072.

The previous prime is 11011000003. The next prime is 11011000043. The reversal of 11011000014 is 41000011011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44427 + ... + 154905.

It is an arithmetic number, because the mean of its divisors is an integer number (388861980).

Almost surely, 211011000014 is an apocalyptic number.

11011000014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011000014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999031280).

11011000014 is an abundant number, since it is smaller than the sum of its proper divisors (16987062546).

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

11011000014 is a wasteful number, since it uses less digits than its factorization.

11011000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110614 (or 110604 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011000014 its reverse (41000011011), we get a palindrome (52011011025).

The spelling of 11011000014 in words is "eleven billion, eleven million, fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 441 678 791 882 1017 1582 2034 2373 4746 5537 7119 11074 14238 16611 33222 49833 99666 110479 220958 331437 662874 773353 994311 1546706 1988622 2320059 4640118 5413471 6960177 10826942 12484127 13920354 16240413 24968254 32480826 37452381 48721239 74904762 87388889 97442478 112357143 174777778 224714286 262166667 524333334 611722223 786500001 1223444446 1573000002 1835166669 3670333338 5505500007 11011000014