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11020211233120 = 255713137309241
BaseRepresentation
bin1010000001011101011111…
…0001101010000101100000
31110000112002110122200221001
42200113113301222011200
52421023343033424440
635234340512241344
72215120051631245
oct240272761520540
943015073580831
1011020211233120
113569710a43561
12129b95a540254
1361c2807b9bab
142a15499255cc
151419dac4cb9a
hexa05d7c6a160

11020211233120 has 96 divisors (see below), whose sum is σ = 26410444393536. Its totient is φ = 4344599347200.

The previous prime is 11020211233103. The next prime is 11020211233139. The reversal of 11020211233120 is 2133211202011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35481700 + ... + 35790940.

It is an arithmetic number, because the mean of its divisors is an integer number (275108795766).

Almost surely, 211020211233120 is an apocalyptic number.

11020211233120 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 11020211233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205222196768).

11020211233120 is an abundant number, since it is smaller than the sum of its proper divisors (15390233160416).

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

11020211233120 is a wasteful number, since it uses less digits than its factorization.

11020211233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312464 (or 312456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11020211233120 its reverse (2133211202011), we get a palindrome (13153422435131).

The spelling of 11020211233120 in words is "eleven trillion, twenty billion, two hundred eleven million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 3137 5680 6274 11360 12548 15685 25096 31370 50192 62740 100384 125480 222727 250960 309241 445454 501920 618482 890908 1113635 1236964 1546205 1781816 2227270 2473928 3092410 3563632 4454540 4947856 6184820 7127264 8909080 9895712 12369640 17818160 21956111 24739280 35636320 43912222 49478560 87824444 109780555 175648888 219561110 351297776 439122220 702595552 878244440 970089017 1756488880 1940178034 3512977760 3880356068 4850445085 7760712136 9700890170 15521424272 19401780340 31042848544 38803560680 68876320207 77607121360 137752640414 155214242720 275505280828 344381601035 551010561656 688763202070 1102021123312 1377526404140 2204042246624 2755052808280 5510105616560 11020211233120