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11002332040 = 235729246723
BaseRepresentation
bin10100011111100101…
…00100001110001000
31001101202211101012021
422033302210032020
5140013044111130
65015430054224
7536435164540
oct121762441610
931352741167
1011002332040
1147365909a7
1221707aa374
131064562c5b
1476531a320
15445da037a
hex28fca4388

11002332040 has 96 divisors (see below), whose sum is σ = 29301554880. Its totient is φ = 3642073344.

The previous prime is 11002332023. The next prime is 11002332043. The reversal of 11002332040 is 4023320011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11002332043) 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, 212119 + ... + 258841.

It is an arithmetic number, because the mean of its divisors is an integer number (305224530).

Almost surely, 211002332040 is an apocalyptic number.

11002332040 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 11002332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650777440).

11002332040 is an abundant number, since it is smaller than the sum of its proper divisors (18299222840).

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

11002332040 is a wasteful number, since it uses less digits than its factorization.

11002332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46799 (or 46766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11002332040 its reverse (4023320011), we get a palindrome (15025652051).

The spelling of 11002332040 in words is "eleven billion, two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 841 1015 1160 1624 1682 2030 3364 4060 4205 5887 6728 8120 8410 11774 16820 23548 29435 33640 46723 47096 58870 93446 117740 186892 233615 235480 327061 373784 467230 654122 934460 1308244 1354967 1635305 1868920 2616488 2709934 3270610 5419868 6541220 6774835 9484769 10839736 13082440 13549670 18969538 27099340 37939076 39294043 47423845 54198680 75878152 78588086 94847690 157176172 189695380 196470215 275058301 314352344 379390760 392940430 550116602 785880860 1100233204 1375291505 1571761720 2200466408 2750583010 5501166020 11002332040