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201120303330 = 232547316715013
BaseRepresentation
bin1011101101001110110…
…1000100100011100010
3201020010102022222202100
42323103231010203202
511243343244201310
6232220550031230
720346643241322
oct2732355044342
9636112288670
10201120303330
1178327193721
1232b8a948516
1315c7245b35b
149a3cbc7282
1553719baec0
hex2ed3b448e2

201120303330 has 96 divisors (see below), whose sum is σ = 534242801664. Its totient is φ = 52470903168.

The previous prime is 201120303277. The next prime is 201120303383. The reversal of 201120303330 is 33303021102.

201120303330 is a `hidden beast` number, since 2 + 0 + 11 + 20 + 303 + 330 = 666.

201120303330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201120303277) and next prime (201120303383).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 13388904 + ... + 13403916.

It is an arithmetic number, because the mean of its divisors is an integer number (5565029184).

Almost surely, 2201120303330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267121400832).

201120303330 is an abundant number, since it is smaller than the sum of its proper divisors (333122498334).

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

201120303330 is a wasteful number, since it uses less digits than its factorization.

201120303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18240 (or 18237 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201120303330 its reverse (33303021102), we get a palindrome (234423324432).

The spelling of 201120303330 in words is "two hundred one billion, one hundred twenty million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 3167 4230 6334 9501 15013 15835 19002 28503 30026 31670 45039 47505 57006 75065 90078 95010 135117 142515 148849 150130 225195 270234 285030 297698 446547 450390 675585 705611 744245 893094 1339641 1351170 1411222 1488490 2116833 2232735 2679282 3528055 4233666 4465470 6350499 6698205 7056110 10584165 12700998 13396410 21168330 31752495 47546171 63504990 95092342 142638513 237730855 285277026 427915539 475461710 713192565 855831078 1426385130 2139577695 2234670037 4279155390 4469340074 6704010111 11173350185 13408020222 20112030333 22346700370 33520050555 40224060666 67040101110 100560151665 201120303330