Search a number
-
+
11001112100 = 22521119618629
BaseRepresentation
bin10100011111011011…
…11010011000100100
31001101200112101202022
422033231322120210
5140012241041400
65015344002312
7536421624056
oct121755723044
931350471668
1011001112100
114735928390
122170300398
1310642268b4
147650bd8d6
15445c0db85
hex28fb7a624

11001112100 has 144 divisors (see below), whose sum is σ = 27865924800. Its totient is φ = 3727296000.

The previous prime is 11001112051. The next prime is 11001112117. The reversal of 11001112100 is 121110011.

It is a happy number.

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, 1270586 + ... + 1279214.

Almost surely, 211001112100 is an apocalyptic number.

11001112100 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 11001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932962400).

11001112100 is an abundant number, since it is smaller than the sum of its proper divisors (16864812700).

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

11001112100 is a wasteful number, since it uses less digits than its factorization.

11001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001112100 its reverse (121110011), we get a palindrome (11122222111).

The spelling of 11001112100 in words is "eleven billion, one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 61 76 95 100 110 122 190 209 220 244 275 305 380 418 475 550 610 671 836 950 1045 1100 1159 1220 1342 1525 1900 2090 2318 2684 3050 3355 4180 4636 5225 5795 6100 6710 8629 10450 11590 12749 13420 16775 17258 20900 23180 25498 28975 33550 34516 43145 50996 57950 63745 67100 86290 94919 115900 127490 163951 172580 189838 215725 254980 318725 327902 379676 431450 474595 526369 637450 655804 819755 862900 949190 1052738 1274900 1639510 1803461 1898380 2105476 2372975 2631845 3279020 3606922 4098775 4745950 5263690 5790059 7213844 8197550 9017305 9491900 10001011 10527380 11580118 13159225 16395100 18034610 20002022 23160236 26318450 28950295 36069220 40004044 45086525 50005055 52636900 57900590 90173050 100010110 110011121 115801180 144751475 180346100 200020220 220022242 250025275 289502950 440044484 500050550 550055605 579005900 1000101100 1100111210 2200222420 2750278025 5500556050 11001112100