Search a number
-
+
11001122303100 = 2235248017638077
BaseRepresentation
bin1010000000010110010111…
…1111001010110001111100
31102221200211010110120201220
42200011211333022301330
52420220244302144400
635221502410233340
72213543031460116
oct240054577126174
942850733416656
1011001122303100
113561605817936
121298111725850
1361a52aab3527
142a065863c3b6
1514126ee987a0
hexa0165fcac7c

11001122303100 has 72 divisors (see below), whose sum is σ = 31836547882608. Its totient is φ = 2933021184000.

The previous prime is 11001122303099. The next prime is 11001122303131. The reversal of 11001122303100 is 130322110011.

It is a happy number.

11001122303100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110011223031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11001122303100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378739 + ... + 5259338.

Almost surely, 211001122303100 is an apocalyptic number.

11001122303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001122303100 is an abundant number, since it is smaller than the sum of its proper divisors (20835425579508).

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

11001122303100 is a wasteful number, since it uses less digits than its factorization.

11001122303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642895 (or 7642888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11001122303100 its reverse (130322110011), we get a palindrome (11131444413111).

The spelling of 11001122303100 in words is "eleven trillion, one billion, one hundred twenty-two million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4801 9602 14403 19204 24005 28806 48010 57612 72015 96020 120025 144030 240050 288060 360075 480100 720150 1440300 7638077 15276154 22914231 30552308 38190385 45828462 76380770 91656924 114571155 152761540 190951925 229142310 381903850 458284620 572855775 763807700 1145711550 2291423100 36670407677 73340815354 110011223031 146681630708 183352038385 220022446062 366704076770 440044892124 550056115155 733408153540 916760191925 1100112230310 1833520383850 2200224460620 2750280575775 3667040767700 5500561151550 11001122303100