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201133433140 = 2251712741911117
BaseRepresentation
bin1011101101010001111…
…1001010000100110100
3201020011100001001110121
42323110133022010310
511243410124330030
6232222135301324
720350162654543
oct2732437120464
9636140031417
10201133433140
1178333641302
1232b9321a844
1315c750a7683
149a4084415a
155372c1147a
hex2ed47ca134

201133433140 has 96 divisors (see below), whose sum is σ = 451863982080. Its totient is φ = 74938558464.

The previous prime is 201133433107. The next prime is 201133433167. The reversal of 201133433140 is 41334331102.

201133433140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 18086862 + ... + 18097978.

It is an arithmetic number, because the mean of its divisors is an integer number (4706916480).

Almost surely, 2201133433140 is an apocalyptic number.

201133433140 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 201133433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225931991040).

201133433140 is an abundant number, since it is smaller than the sum of its proper divisors (250730548940).

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

201133433140 is a wasteful number, since it uses less digits than its factorization.

201133433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 201133433140 its reverse (41334331102), we get a palindrome (242467764242).

The spelling of 201133433140 in words is "two hundred one billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 419 508 635 838 1270 1676 2095 2159 2540 4190 4318 7123 8380 8636 10795 11117 14246 21590 22234 28492 35615 43180 44468 53213 55585 71230 106426 111170 142460 188989 212852 222340 266065 377978 532130 755956 904621 944945 1064260 1411859 1809242 1889890 2823718 3618484 3779780 4523105 4658023 5647436 7059295 9046210 9316046 14118590 18092420 18632092 23290115 24001603 28237180 46580230 48003206 79186391 93160460 96006412 120008015 158372782 240016030 316745564 395931955 480032060 591568921 791863910 1183137842 1583727820 2366275684 2957844605 5915689210 10056671657 11831378420 20113343314 40226686628 50283358285 100566716570 201133433140