Search a number
-
+
11123782020 = 22325134753753
BaseRepresentation
bin10100101110000011…
…10111000110000100
31001201020100200020200
422113001313012010
5140240142011040
65035445130500
7542441405241
oct122701670604
931636320220
1011123782020
1147990a308a
1221a53b9a30
131083776b50
147774d25c8
15451890630
hex297077184

11123782020 has 72 divisors (see below), whose sum is σ = 36337695576. Its totient is φ = 2738161152.

The previous prime is 11123782001. The next prime is 11123782067. The reversal of 11123782020 is 2028732111.

It can be written as a sum of positive squares in 4 ways, for example, as 17994564 + 11105787456 = 4242^2 + 105384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374537 + ... + 2379216.

Almost surely, 211123782020 is an apocalyptic number.

11123782020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123782020 is an abundant number, since it is smaller than the sum of its proper divisors (25213913556).

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

11123782020 is a wasteful number, since it uses less digits than its factorization.

11123782020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753781 (or 4753776 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11123782020 in words is "eleven billion, one hundred twenty-three million, seven hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4753753 9507506 14261259 19015012 23768765 28522518 42783777 47537530 57045036 61798789 71306295 85567554 95075060 123597578 142612590 171135108 185396367 213918885 247195156 285225180 308993945 370792734 427837770 556189101 617987890 741585468 855675540 926981835 1112378202 1235975780 1853963670 2224756404 2780945505 3707927340 5561891010 11123782020