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1123130100 = 223521012367
BaseRepresentation
bin100001011110001…
…1001101011110100
32220021100220212010
41002330121223310
54300010130400
6303240324220
736555306531
oct10274315364
92807326763
101123130100
11526a832a4
12274173670
1314b8bba31
14a923dd88
1568904450
hex42f19af4

1123130100 has 108 divisors (see below), whose sum is σ = 3291025472. Its totient is φ = 295728000.

The previous prime is 1123130087. The next prime is 1123130119. The reversal of 1123130100 is 10313211.

1123130100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11231301002 = 2522842443052020000, which contains 22 as substring.

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

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, 3060117 + ... + 3060483.

Almost surely, 21123130100 is an apocalyptic number.

1123130100 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 1123130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645512736).

1123130100 is an abundant number, since it is smaller than the sum of its proper divisors (2167895372).

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

1123130100 is a wasteful number, since it uses less digits than its factorization.

1123130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 478 counting only the distinct ones).

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

The square root of 1123130100 is about 33513.1332465349. The cubic root of 1123130100 is about 1039.4653625310.

Adding to 1123130100 its reverse (10313211), we get a palindrome (1133443311).

The spelling of 1123130100 in words is "one billion, one hundred twenty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 367 404 505 606 734 1010 1101 1212 1468 1515 1835 2020 2202 2525 3030 3670 4404 5050 5505 6060 7340 7575 9175 10100 10201 11010 15150 18350 20402 22020 27525 30300 30603 36700 37067 40804 51005 55050 61206 74134 102010 110100 111201 122412 148268 153015 185335 204020 222402 255025 306030 370670 444804 510050 556005 612060 741340 765075 926675 1020100 1112010 1530150 1853350 2224020 2780025 3060300 3706700 3743767 5560050 7487534 11120100 11231301 14975068 18718835 22462602 37437670 44925204 56156505 74875340 93594175 112313010 187188350 224626020 280782525 374376700 561565050 1123130100