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11034410200 = 2352116078263
BaseRepresentation
bin10100100011011001…
…11011110011011000
31001111000012010011021
422101230323303120
5140044302111300
65022533412224
7540304640062
oct122154736330
931430163137
1011034410200
114752700780
12217b49a074
13106b0b4b08
147696aa732
15448ad9d1a
hex291b3bcd8

11034410200 has 96 divisors (see below), whose sum is σ = 28036776960. Its totient is φ = 4005417600.

The previous prime is 11034410173. The next prime is 11034410239. The reversal of 11034410200 is 201443011.

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, 1331269 + ... + 1339531.

It is an arithmetic number, because the mean of its divisors is an integer number (292049760).

Almost surely, 211034410200 is an apocalyptic number.

11034410200 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 11034410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018388480).

11034410200 is an abundant number, since it is smaller than the sum of its proper divisors (17002366760).

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

11034410200 is a wasteful number, since it uses less digits than its factorization.

11034410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11034410200 its reverse (201443011), we get a palindrome (11235853211).

The spelling of 11034410200 in words is "eleven billion, thirty-four million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 607 1100 1214 2200 2428 3035 4856 6070 6677 8263 12140 13354 15175 16526 24280 26708 30350 33052 33385 41315 53416 60700 66104 66770 82630 90893 121400 133540 165260 166925 181786 206575 267080 330520 333850 363572 413150 454465 667700 727144 826300 908930 1335400 1652600 1817860 2272325 3635720 4544650 5015641 9089300 10031282 18178600 20062564 25078205 40125128 50156410 55172051 100312820 110344102 125391025 200625640 220688204 250782050 275860255 441376408 501564100 551720510 1003128200 1103441020 1379301275 2206882040 2758602550 5517205100 11034410200