Search a number
-
+
11120200202112 = 2731931346914173
BaseRepresentation
bin1010000111010001111110…
…0101010011011110000000
31110101002011212112121110220
42201310133211103132000
52424143132222431422
635352314403023040
72225256633064341
oct241643745233600
943332155477426
1011120200202112
1135a8061124921
1212b720466aa80
13628826c366c1
142a63133140c8
151443de008e5c
hexa1d1f953780

11120200202112 has 256 divisors, whose sum is σ = 32107171584000. Its totient is φ = 3397144043520.

The previous prime is 11120200202063. The next prime is 11120200202119. The reversal of 11120200202112 is 21120200202111.

It is a super-3 number, since 3×111202002021123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120200202091 and 11120200202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120200202119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784597458 + ... + 784611630.

It is an arithmetic number, because the mean of its divisors is an integer number (125418639000).

Almost surely, 211120200202112 is an apocalyptic number.

11120200202112 is a gapful number since it is divisible by the number (12) 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 11120200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053585792000).

11120200202112 is an abundant number, since it is smaller than the sum of its proper divisors (20986971381888).

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

11120200202112 is a wasteful number, since it uses less digits than its factorization.

11120200202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17709 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11120200202112 its reverse (21120200202111), we get a palindrome (32240400404223).

Subtracting 11120200202112 from its reverse (21120200202111), we obtain a palindrome (9999999999999).

The spelling of 11120200202112 in words is "eleven trillion, one hundred twenty billion, two hundred million, two hundred two thousand, one hundred twelve".