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11123041410 = 2325139798009
BaseRepresentation
bin10100101101111110…
…00010010010000010
31001201011222001022200
422112333002102002
5140234444311120
65035421214030
7542432202105
oct122677022202
931634861280
1011123041410
114798737708
1221a5101316
131083577a10
1477737c73c
15451795e90
hex296fc2482

11123041410 has 96 divisors (see below), whose sum is σ = 31465914480. Its totient is φ = 2709725184.

The previous prime is 11123041409. The next prime is 11123041421. The reversal of 11123041410 is 1414032111.

11123041410 is a `hidden beast` number, since 1 + 11 + 230 + 414 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1442252529 + 9680788881 = 37977^2 + 98391^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64486 + ... + 162494.

Almost surely, 211123041410 is an apocalyptic number.

11123041410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732957240).

11123041410 is an abundant number, since it is smaller than the sum of its proper divisors (20342873070).

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

11123041410 is a wasteful number, since it uses less digits than its factorization.

11123041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98132 (or 98129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11123041410 its reverse (1414032111), we get a palindrome (12537073521).

The spelling of 11123041410 in words is "eleven billion, one hundred twenty-three million, forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 97 117 130 194 195 234 291 390 485 582 585 873 970 1170 1261 1455 1746 2522 2910 3783 4365 6305 7566 8730 11349 12610 18915 22698 37830 56745 98009 113490 196018 294027 490045 588054 882081 980090 1274117 1470135 1764162 2548234 2940270 3822351 4410405 6370585 7644702 8820810 9506873 11467053 12741170 19013746 19111755 22934106 28520619 38223510 47534365 57041238 57335265 85561857 95068730 114670530 123589349 142603095 171123714 247178698 285206190 370768047 427809285 617946745 741536094 855618570 1112304141 1235893490 1853840235 2224608282 3707680470 5561520705 11123041410