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201101033320 = 23511677196079
BaseRepresentation
bin1011101101001010001…
…1100011111101101000
3201020002002001222021021
42323102203203331220
511243323331031240
6232215021022224
720346320402455
oct2732243437550
9636062058237
10201101033320
11783173218a0
1232b843b4974
1315c6b472295
149a3a40c82c
15536ee6154a
hex2ed28e3f68

201101033320 has 128 divisors (see below), whose sum is σ = 508040294400. Its totient is φ = 71020857600.

The previous prime is 201101033261. The next prime is 201101033321. The reversal of 201101033320 is 23330101102.

It is a super-3 number, since 3×2011010333203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201101033294 and 201101033303.

It is not an unprimeable number, because it can be changed into a prime (201101033321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045041 + ... + 2141119.

It is an arithmetic number, because the mean of its divisors is an integer number (3969064800).

Almost surely, 2201101033320 is an apocalyptic number.

201101033320 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 201101033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254020147200).

201101033320 is an abundant number, since it is smaller than the sum of its proper divisors (306939261080).

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

201101033320 is a wasteful number, since it uses less digits than its factorization.

201101033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96239 (or 96235 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201101033320 its reverse (23330101102), we get a palindrome (224431134422).

The spelling of 201101033320 in words is "two hundred one billion, one hundred one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 71 88 110 134 142 220 268 284 335 355 440 536 568 670 710 737 781 1340 1420 1474 1562 2680 2840 2948 3124 3685 3905 4757 5896 6248 7370 7810 9514 14740 15620 19028 23785 29480 31240 38056 47570 52327 95140 96079 104654 190280 192158 209308 261635 384316 418616 480395 523270 768632 960790 1046540 1056869 1921580 2093080 2113738 3843160 4227476 5284345 6437293 6821609 8454952 10568690 12874586 13643218 21137380 25749172 27286436 32186465 34108045 42274760 51498344 54572872 64372930 68216090 70810223 75037699 128745860 136432180 141620446 150075398 257491720 272864360 283240892 300150796 354051115 375188495 457047803 566481784 600301592 708102230 750376990 914095606 1416204460 1500753980 1828191212 2285239015 2832408920 3001507960 3656382424 4570478030 5027525833 9140956060 10055051666 18281912120 20110103332 25137629165 40220206664 50275258330 100550516660 201101033320