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111004441350 = 235211331203249
BaseRepresentation
bin110011101100001100…
…0010101101100000110
3101121112002102212212120
41213120120111230012
53304314114110400
6122554510230410
711006536116615
oct1473030255406
9347462385776
10111004441350
1143093127830
121961b1b5406
13a6106307ba
14553076987c
152d4a3a4ca0
hex19d8615b06

111004441350 has 96 divisors (see below), whose sum is σ = 301226256000. Its totient is φ = 26828736000.

The previous prime is 111004441321. The next prime is 111004441367. The reversal of 111004441350 is 53144400111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111004441350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444526 + ... + 647774.

It is an arithmetic number, because the mean of its divisors is an integer number (3137773500).

Almost surely, 2111004441350 is an apocalyptic number.

111004441350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111004441350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150613128000).

111004441350 is an abundant number, since it is smaller than the sum of its proper divisors (190221814650).

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

111004441350 is a wasteful number, since it uses less digits than its factorization.

111004441350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203606 (or 203601 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 111004441350 its reverse (53144400111), we get a palindrome (164148841461).

The spelling of 111004441350 in words is "one hundred eleven billion, four million, four hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 331 550 662 825 993 1650 1655 1986 3310 3641 4965 7282 8275 9930 10923 16550 18205 21846 24825 36410 49650 54615 91025 109230 182050 203249 273075 406498 546150 609747 1016245 1219494 2032490 2235739 3048735 4471478 5081225 6097470 6707217 10162450 11178695 13414434 15243675 22357390 30487350 33536085 55893475 67072170 67275419 111786950 134550838 167680425 201826257 335360850 336377095 403652514 672754190 740029609 1009131285 1480059218 1681885475 2018262570 2220088827 3363770950 3700148045 4440177654 5045656425 7400296090 10091312850 11100444135 18500740225 22200888270 37001480450 55502220675 111004441350