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11002431420 = 2233526377471
BaseRepresentation
bin10100011111100101…
…11100011110111100
31001101210000102112000
422033302330132330
5140013110301140
65015432142300
7536436060351
oct121762743674
931353012460
1011002431420
114736649632
122170837990
131064599266
14765344628
15445dbea30
hex28fcbc7bc

11002431420 has 96 divisors (see below), whose sum is σ = 34360381440. Its totient is φ = 2922788160.

The previous prime is 11002431397. The next prime is 11002431431. The reversal of 11002431420 is 2413420011.

11002431420 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 243 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002431393 and 11002431402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103285 + ... + 180755.

It is an arithmetic number, because the mean of its divisors is an integer number (357920640).

Almost surely, 211002431420 is an apocalyptic number.

11002431420 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 11002431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180190720).

11002431420 is an abundant number, since it is smaller than the sum of its proper divisors (23357950020).

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

11002431420 is a wasteful number, since it uses less digits than its factorization.

11002431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77752 (or 77744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11002431420 its reverse (2413420011), we get a palindrome (13415851431).

The spelling of 11002431420 in words is "eleven billion, two million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 77471 142020 154942 232413 309884 387355 464826 697239 774710 929652 1162065 1394478 1549420 2091717 2324130 2788956 3486195 4183434 4648260 6972390 8366868 10458585 13944780 20374873 20917170 40749746 41834340 61124619 81499492 101874365 122249238 183373857 203748730 244498476 305623095 366747714 407497460 550121571 611246190 733495428 916869285 1100243142 1222492380 1833738570 2200486284 2750607855 3667477140 5501215710 11002431420