Search a number
-
+
11005342803 = 337134479179
BaseRepresentation
bin10100011111111100…
…00011010001010011
31001101222111100012000
422033332003101103
5140014331432203
65020014405043
7536502604350
oct121776032123
931358440160
1011005342803
114738257a34
122171800783
131065078480
147658a1627
154462974a3
hex28ff83453

11005342803 has 32 divisors (see below), whose sum is σ = 20066726400. Its totient is φ = 5805014688.

The previous prime is 11005342769. The next prime is 11005342807. The reversal of 11005342803 is 30824350011.

It is a happy number.

11005342803 is a `hidden beast` number, since 1 + 100 + 534 + 28 + 0 + 3 = 666.

It is not a de Polignac number, because 11005342803 - 26 = 11005342739 is a prime.

It is a super-3 number, since 3×110053428033 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11005342807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237133 + ... + 2242046.

It is an arithmetic number, because the mean of its divisors is an integer number (627085200).

Almost surely, 211005342803 is an apocalyptic number.

11005342803 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11005342803 is a deficient number, since it is larger than the sum of its proper divisors (9061383597).

11005342803 is a wasteful number, since it uses less digits than its factorization.

11005342803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479208 (or 4479202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11005342803 its reverse (30824350011), we get a palindrome (41829692814).

The spelling of 11005342803 in words is "eleven billion, five million, three hundred forty-two thousand, eight hundred three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4479179 13437537 31354253 40312611 58229327 94062759 120937833 174687981 282188277 407605289 524063943 846564831 1222815867 1572191829 3668447601 11005342803