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11034232400 = 245257148311
BaseRepresentation
bin10100100011011000…
…10000011001010000
31001110222212002021002
422101230100121100
5140044230414100
65022525521132
7540303266522
oct122154203120
931428762232
1011034232400
11475259a134
12217b4131a8
13106b051bc9
14769661a12
15448aa22d5
hex291b10650

11034232400 has 60 divisors (see below), whose sum is σ = 26556719904. Its totient is φ = 4405872000.

The previous prime is 11034232373. The next prime is 11034232403. The reversal of 11034232400 is 423243011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034232403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204245 + ... + 252555.

Almost surely, 211034232400 is an apocalyptic number.

11034232400 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 11034232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278359952).

11034232400 is an abundant number, since it is smaller than the sum of its proper divisors (15522487504).

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

11034232400 is a wasteful number, since it uses less digits than its factorization.

11034232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48900 (or 48889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11034232400 its reverse (423243011), we get a palindrome (11457475411).

The spelling of 11034232400 in words is "eleven billion, thirty-four million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 571 1142 2284 2855 4568 5710 9136 11420 14275 22840 28550 45680 48311 57100 96622 114200 193244 228400 241555 386488 483110 772976 966220 1207775 1932440 2415550 3864880 4831100 9662200 19324400 27585581 55171162 110342324 137927905 220684648 275855810 441369296 551711620 689639525 1103423240 1379279050 2206846480 2758558100 5517116200 11034232400