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1111135340 = 2257101179439
BaseRepresentation
bin100001000111010…
…1001010001101100
32212102210112010202
41002032221101230
54233422312330
6302131253032
736351331430
oct10216512154
92772715122
101111135340
11520230477
1227014a178
1314927c243
14a77da9c0
1567835445
hex423a946c

1111135340 has 96 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 374227200.

The previous prime is 1111135327. The next prime is 1111135343. The reversal of 1111135340 is 435311111.

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

It is not an unprimeable number, because it can be changed into a prime (1111135343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2530841 + ... + 2531279.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 21111135340 is an apocalyptic number.

1111135340 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 1111135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

1111135340 is an abundant number, since it is smaller than the sum of its proper divisors (1603207060).

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

1111135340 is a wasteful number, since it uses less digits than its factorization.

1111135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1111135340 is about 33333.6967646854. The cubic root of 1111135340 is about 1035.7516970757.

Adding to 1111135340 its reverse (435311111), we get a palindrome (1546446451).

The spelling of 1111135340 in words is "one billion, one hundred eleven million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 179 202 358 404 439 505 707 716 878 895 1010 1253 1414 1756 1790 2020 2195 2506 2828 3073 3535 3580 4390 5012 6146 6265 7070 8780 12292 12530 14140 15365 18079 25060 30730 36158 44339 61460 72316 78581 88678 90395 126553 157162 177356 180790 221695 253106 310373 314324 361580 392905 443390 506212 550067 620746 632765 785810 886780 1100134 1241492 1265530 1551865 1571620 2200268 2531060 2750335 3103730 5500670 6207460 7936681 11001340 15873362 31746724 39683405 55556767 79366810 111113534 158733620 222227068 277783835 555567670 1111135340