Search a number
-
+
11100102000 = 24353131011409
BaseRepresentation
bin10100101011001111…
…00001110101110000
31001122120210121100220
422111213201311300
5140213111231000
65033241413040
7542033211261
oct122547416560
931576717326
1011100102000
114786799a19
12219949a180
13107b8a56c0
147742ca968
1544e7641a0
hex2959e1d70

11100102000 has 320 divisors, whose sum is σ = 38948757120. Its totient is φ = 2703360000.

The previous prime is 11100101953. The next prime is 11100102019. The reversal of 11100102000 is 20100111.

11100102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11100102000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7877296 + ... + 7878704.

It is an arithmetic number, because the mean of its divisors is an integer number (121714866).

Almost surely, 211100102000 is an apocalyptic number.

11100102000 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 11100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474378560).

11100102000 is an abundant number, since it is smaller than the sum of its proper divisors (27848655120).

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

11100102000 is a wasteful number, since it uses less digits than its factorization.

11100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100102000 its reverse (20100111), we get a palindrome (11120202111).

The spelling of 11100102000 in words is "eleven billion, one hundred million, one hundred two thousand".