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11232034440 = 23351123935603
BaseRepresentation
bin10100111010111101…
…10011111010001000
31001222210001110122120
422131132303322020
5141000400100230
65054313251240
7545224501044
oct123536637210
931883043576
1011232034440
1148442107a0
122215703b20
1310a0019933
14787a31024
1545b125310
hex29d7b3e88

11232034440 has 128 divisors (see below), whose sum is σ = 36914227200. Its totient is φ = 2711448320.

The previous prime is 11232034439. The next prime is 11232034441. The reversal of 11232034440 is 4443023211.

It is an interprime number because it is at equal distance from previous prime (11232034439) and next prime (11232034441).

It is a super-2 number, since 2×112320344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11232034440.

It is not an unprimeable number, because it can be changed into a prime (11232034441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297679 + ... + 333281.

It is an arithmetic number, because the mean of its divisors is an integer number (288392400).

Almost surely, 211232034440 is an apocalyptic number.

11232034440 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 11232034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457113600).

11232034440 is an abundant number, since it is smaller than the sum of its proper divisors (25682192760).

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

11232034440 is a wasteful number, since it uses less digits than its factorization.

11232034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35867 (or 35863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11232034440 its reverse (4443023211), we get a palindrome (15675057651).

The spelling of 11232034440 in words is "eleven billion, two hundred thirty-two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 239 264 330 440 478 660 717 956 1195 1320 1434 1912 2390 2629 2868 3585 4780 5258 5736 7170 7887 9560 10516 13145 14340 15774 21032 26290 28680 31548 35603 39435 52580 63096 71206 78870 105160 106809 142412 157740 178015 213618 284824 315480 356030 391633 427236 534045 712060 783266 854472 1068090 1174899 1424120 1566532 1958165 2136180 2349798 3133064 3916330 4272360 4699596 5874495 7832660 8509117 9399192 11748990 15665320 17018234 23497980 25527351 34036468 42545585 46995960 51054702 68072936 85091170 93600287 102109404 127636755 170182340 187200574 204218808 255273510 280800861 340364680 374401148 468001435 510547020 561601722 748802296 936002870 1021094040 1123203444 1404004305 1872005740 2246406888 2808008610 3744011480 5616017220 11232034440