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2011311023320 = 235472137166151
BaseRepresentation
bin11101010001001011011…
…110101010010011011000
321010021112201112100222201
4131101023132222103120
5230423131110221240
64135552235255544
7265212106421314
oct35211336522330
97107481470881
102011311023320
11705aa0702045
1228597bbaa5b4
13117886a49091
146d4c2ba2b44
15374bb006d9a
hex1d44b7aa4d8

2011311023320 has 96 divisors (see below), whose sum is σ = 4657562894880. Its totient is φ = 781654668800.

The previous prime is 2011311023317. The next prime is 2011311023321. The reversal of 2011311023320 is 233201131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011311023321) 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, 12022245 + ... + 12188395.

It is an arithmetic number, because the mean of its divisors is an integer number (48516280155).

Almost surely, 22011311023320 is an apocalyptic number.

2011311023320 is a gapful number since it is divisible by the number (20) 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 2011311023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328781447440).

2011311023320 is an abundant number, since it is smaller than the sum of its proper divisors (2646251871560).

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

2011311023320 is a wasteful number, since it uses less digits than its factorization.

2011311023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166393 (or 166342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2011311023320 its reverse (233201131102), we get a palindrome (2244512154422).

The spelling of 2011311023320 in words is "two trillion, eleven billion, three hundred eleven million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 376 470 548 685 940 1096 1370 1880 2209 2740 4418 5480 6439 8836 11045 12878 17672 22090 25756 32195 44180 51512 64390 88360 128780 166151 257560 302633 332302 605266 664604 830755 1210532 1329208 1513165 1661510 2421064 3026330 3323020 6052660 6646040 7809097 12105320 15618194 22762687 31236388 39045485 45525374 62472776 78090970 91050748 113813435 156181940 182101496 227626870 312363880 367027559 455253740 734055118 910507480 1069846289 1468110236 1835137795 2139692578 2936220472 3670275590 4279385156 5349231445 7340551180 8558770312 10698462890 14681102360 21396925780 42793851560 50282775583 100565551166 201131102332 251413877915 402262204664 502827755830 1005655511660 2011311023320