Search a number
-
+
1113110100 = 22365215269
BaseRepresentation
bin100001001011000…
…1011011001010100
32212120111212000000
41002112023121110
54234424010400
6302241451300
736404164644
oct10226133124
92776455000
101113110100
1152135a103
12270940b30
131497c103b
14a7b92524
1567ac5600
hex4258b654

1113110100 has 126 divisors (see below), whose sum is σ = 3621753870. Its totient is φ = 296809920.

The previous prime is 1113110099. The next prime is 1113110111. The reversal of 1113110100 is 10113111.

It can be written as a sum of positive squares in 3 ways, for example, as 56340036 + 1056770064 = 7506^2 + 32508^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 65266 + ... + 80534.

Almost surely, 21113110100 is an apocalyptic number.

1113110100 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 1113110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810876935).

1113110100 is an abundant number, since it is smaller than the sum of its proper divisors (2508643770).

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

1113110100 is a wasteful number, since it uses less digits than its factorization.

1113110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1113110100 is about 33363.3046924312. The cubic root of 1113110100 is about 1036.3649288576.

Adding to 1113110100 its reverse (10113111), we get a palindrome (1123223211).

The spelling of 1113110100 in words is "one billion, one hundred thirteen million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 15269 18225 24300 30538 36450 45807 61076 72900 76345 91614 137421 152690 183228 229035 274842 305380 381725 412263 458070 549684 687105 763450 824526 916140 1145175 1236789 1374210 1526900 1649052 2061315 2290350 2473578 2748420 3435525 3710367 4122630 4580700 4947156 6183945 6871050 7420734 8245260 10306575 11131101 12367890 13742100 14841468 18551835 20613150 22262202 24735780 30919725 37103670 41226300 44524404 55655505 61839450 74207340 92759175 111311010 123678900 185518350 222622020 278277525 371036700 556555050 1113110100