Search a number
-
+
11113000000 = 265611113
BaseRepresentation
bin10100101100110001…
…01110110001000000
31001200111001220002121
422112120232301000
5140224412000000
65034422054024
7542250640624
oct122630566100
931614056077
1011113000000
114792aa9423
1221a187a314
13108147035b
14775cc7184
15450960b1a
hex29662ec40

11113000000 has 98 divisors (see below), whose sum is σ = 27567576818. Its totient is φ = 4444800000.

The previous prime is 11112999973. The next prime is 11113000027. The reversal of 11113000000 is 31111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11112999973) and next prime (11113000027).

It can be written as a sum of positive squares in 7 ways, for example, as 9489877056 + 1623122944 = 97416^2 + 40288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 994444 + ... + 1005556.

Almost surely, 211113000000 is an apocalyptic number.

11113000000 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 11113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783788409).

11113000000 is an abundant number, since it is smaller than the sum of its proper divisors (16454576818).

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

11113000000 is an frugal number, since it uses more digits than its factorization.

11113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11155 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11113000000 its reverse (31111), we get a palindrome (11113031111).

The spelling of 11113000000 in words is "eleven billion, one hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 11113 12500 15625 20000 22226 25000 31250 40000 44452 50000 55565 62500 88904 100000 111130 125000 177808 200000 222260 250000 277825 355616 444520 500000 555650 711232 889040 1000000 1111300 1389125 1778080 2222600 2778250 3556160 4445200 5556500 6945625 8890400 11113000 13891250 17780800 22226000 27782500 34728125 44452000 55565000 69456250 88904000 111130000 138912500 173640625 222260000 277825000 347281250 444520000 555650000 694562500 1111300000 1389125000 2222600000 2778250000 5556500000 11113000000