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1123013100 = 2235211230937
BaseRepresentation
bin100001011101111…
…1101000111101100
32220021010222100210
41002323331013230
54244442404400
6303234022420
736554311446
oct10273750754
92807128323
101123013100
11526a03400
12274117a10
1314b87a6c1
14a920d496
15688ce950
hex42efd1ec

1123013100 has 108 divisors (see below), whose sum is σ = 3571606472. Its totient is φ = 272236800.

The previous prime is 1123013053. The next prime is 1123013119. The reversal of 1123013100 is 13103211.

It is a super-2 number, since 2×11230131002 = 2522316845543220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 20832 + ... + 51768.

Almost surely, 21123013100 is an apocalyptic number.

1123013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785803236).

1123013100 is an abundant number, since it is smaller than the sum of its proper divisors (2448593372).

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

1123013100 is a wasteful number, since it uses less digits than its factorization.

1123013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30976 (or 30958 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1123013100 is about 33511.3876167490. The cubic root of 1123013100 is about 1039.4292664840.

Adding to 1123013100 its reverse (13103211), we get a palindrome (1136116311).

The spelling of 1123013100 in words is "one billion, one hundred twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 30937 36300 61874 92811 123748 154685 185622 309370 340307 371244 464055 618740 680614 773425 928110 1020921 1361228 1546850 1701535 1856220 2041842 2320275 3093700 3403070 3743377 4083684 4640550 5104605 6806140 7486754 8507675 9281100 10209210 11230131 14973508 17015350 18716885 20418420 22460262 25523025 34030700 37433770 44920524 51046050 56150655 74867540 93584425 102092100 112301310 187168850 224602620 280753275 374337700 561506550 1123013100