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11034324400 = 2452115347317
BaseRepresentation
bin10100100011011001…
…00110110110110000
31001111000000202110111
422101230212312300
5140044241340100
65022531511104
7540304131661
oct122154466660
931430022414
1011034324400
114752652270
12217b458494
13106b084a48
14769687368
15448abe6ba
hex291b26db0

11034324400 has 120 divisors (see below), whose sum is σ = 29466243504. Its totient is φ = 3936691200.

The previous prime is 11034324391. The next prime is 11034324401. The reversal of 11034324400 is 442343011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11034324401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209542 + ... + 256858.

Almost surely, 211034324400 is an apocalyptic number.

11034324400 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 11034324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733121752).

11034324400 is an abundant number, since it is smaller than the sum of its proper divisors (18431919104).

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

11034324400 is a wasteful number, since it uses less digits than its factorization.

11034324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47399 (or 47388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11034324400 its reverse (442343011), we get a palindrome (11476667411).

The spelling of 11034324400 in words is "eleven billion, thirty-four million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 176 200 212 220 265 275 400 424 440 530 550 583 848 880 1060 1100 1166 1325 2120 2200 2332 2650 2915 4240 4400 4664 5300 5830 9328 10600 11660 14575 21200 23320 29150 46640 47317 58300 94634 116600 189268 233200 236585 378536 473170 520487 757072 946340 1040974 1182925 1892680 2081948 2365850 2507801 2602435 3785360 4163896 4731700 5015602 5204870 8327792 9463400 10031204 10409740 12539005 13012175 18926800 20062408 20819480 25078010 26024350 27585811 40124816 41638960 50156020 52048700 55171622 62695025 100312040 104097400 110343244 125390050 137929055 200624080 208194800 220686488 250780100 275858110 441372976 501560200 551716220 689645275 1003120400 1103432440 1379290550 2206864880 2758581100 5517162200 11034324400