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11004163323240 = 2335538263209393
BaseRepresentation
bin1010000000100001101100…
…1111101111010101101000
31102221222200001200102010110
42200020123033233111220
52420243011302320430
635223124242014320
72214011265640053
oct240103317572550
942858601612113
1011004163323240
11356292635531a
1212988200473a0
1361a8c3b2aa29
142a0866481a9a
1514139be417b0
hexa021b3ef568

11004163323240 has 128 divisors (see below), whose sum is σ = 33639598391040. Its totient is φ = 2878714515456.

The previous prime is 11004163323229. The next prime is 11004163323287. The reversal of 11004163323240 is 4232336140011.

It is a super-2 number, since 2×110041633232402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11004163323198 and 11004163323207.

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, 52447984 + ... + 52657376.

It is an arithmetic number, because the mean of its divisors is an integer number (262809362430).

Almost surely, 211004163323240 is an apocalyptic number.

11004163323240 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 11004163323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819799195520).

11004163323240 is an abundant number, since it is smaller than the sum of its proper divisors (22635435067800).

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

11004163323240 is a wasteful number, since it uses less digits than its factorization.

11004163323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217723 (or 217719 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11004163323240 its reverse (4232336140011), we get a palindrome (15236499463251).

The spelling of 11004163323240 in words is "eleven trillion, four billion, one hundred sixty-three million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 8263 16526 24789 33052 41315 49578 66104 82630 99156 123945 165260 198312 209393 247890 330520 418786 437939 495780 628179 837572 875878 991560 1046965 1256358 1313817 1675144 1751756 2093930 2189695 2512716 2627634 3140895 3503512 4187860 4379390 5025432 5255268 6281790 6569085 8375720 8758780 10510536 11097829 12563580 13138170 17517560 22195658 25127160 26276340 33293487 44391316 52552680 55489145 66586974 88782632 110978290 133173948 166467435 221956580 266347896 332934870 443913160 665869740 1331739480 1730214359 3460428718 5190643077 6920857436 8651071795 10381286154 13841714872 17302143590 20762572308 25953215385 34604287180 41525144616 51906430770 69208574360 91701361027 103812861540 183402722054 207625723080 275104083081 366805444108 458506805135 550208166162 733610888216 917013610270 1100416332324 1375520415405 1834027220540 2200832664648 2751040830810 3668054441080 5502081661620 11004163323240