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11331131203120 = 2451930724282383
BaseRepresentation
bin1010010011100011110000…
…0011001101111000110000
31111010020122000102200101111
42210320330003031320300
52441122124041444440
640033241054243104
72246434665030061
oct244707403157060
944106560380344
1011331131203120
113679562186953
121330070ab6494
136426a0aa21c1
142b2603064568
15149b36e3d4ea
hexa4e3c0cde30

11331131203120 has 80 divisors (see below), whose sum is σ = 27821784291840. Its totient is φ = 4279915521792.

The previous prime is 11331131203111. The next prime is 11331131203123. The reversal of 11331131203120 is 2130213113311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11331131203091 and 11331131203100.

It is not an unprimeable number, because it can be changed into a prime (11331131203123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11674552 + ... + 12607831.

It is an arithmetic number, because the mean of its divisors is an integer number (347772303648).

Almost surely, 211331131203120 is an apocalyptic number.

11331131203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131203120 is an abundant number, since it is smaller than the sum of its proper divisors (16490653088720).

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

11331131203120 is a wasteful number, since it uses less digits than its factorization.

11331131203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282722 (or 24282716 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11331131203120 its reverse (2130213113311), we get a palindrome (13461344316431).

The spelling of 11331131203120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 307 380 614 760 1228 1520 1535 2456 3070 4912 5833 6140 11666 12280 23332 24560 29165 46664 58330 93328 116660 233320 466640 24282383 48564766 97129532 121411915 194259064 242823830 388518128 461365277 485647660 922730554 971295320 1845461108 1942590640 2306826385 3690922216 4613652770 7381844432 7454691581 9227305540 14909383162 18454611080 29818766324 36909222160 37273457905 59637532648 74546915810 119275065296 141639140039 149093831620 283278280078 298187663240 566556560156 596375326480 708195700195 1133113120312 1416391400390 2266226240624 2832782800780 5665565601560 11331131203120