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1131220320 = 25352698761
BaseRepresentation
bin100001101101101…
…0000110101100000
32220211120221112220
41003123100311200
54304043022240
6304125551040
740014133266
oct10333206540
92824527486
101131220320
115305a962a
12276a15480
13150492249
14aa348436
15694a15d0
hex436d0d60

1131220320 has 96 divisors (see below), whose sum is σ = 3576998880. Its totient is φ = 300503040.

The previous prime is 1131220303. The next prime is 1131220333. The reversal of 1131220320 is 230221311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131220320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124740 + ... + 133500.

It is an arithmetic number, because the mean of its divisors is an integer number (37260405).

Almost surely, 21131220320 is an apocalyptic number.

1131220320 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 1131220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788499440).

1131220320 is an abundant number, since it is smaller than the sum of its proper divisors (2445778560).

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

1131220320 is a wasteful number, since it uses less digits than its factorization.

1131220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1131220320 is about 33633.6188953850. The cubic root of 1131220320 is about 1041.9552467937.

Adding to 1131220320 its reverse (230221311), we get a palindrome (1361441631).

Subtracting from 1131220320 its reverse (230221311), we obtain a palindrome (900999009).

The spelling of 1131220320 in words is "one billion, one hundred thirty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 8761 10760 12912 16140 17522 21520 25824 26283 32280 35044 43040 43805 52566 64560 70088 87610 105132 129120 131415 140176 175220 210264 262830 280352 350440 420528 525660 700880 841056 1051320 1401760 2102640 2356709 4205280 4713418 7070127 9426836 11783545 14140254 18853672 23567090 28280508 35350635 37707344 47134180 56561016 70701270 75414688 94268360 113122032 141402540 188536720 226244064 282805080 377073440 565610160 1131220320