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34031141300 = 225213219105983
BaseRepresentation
bin11111101100011010…
…100000000110110100
310020211200121002122202
4133230122200012310
51024143433010200
623344513244032
72313215633252
oct375432400664
9106750532582
1034031141300
1113483768172
126718b63618
13329459b100
14190b9875d2
15d429a11d5
hex7ec6a01b4

34031141300 has 108 divisors (see below), whose sum is σ = 84174612480. Its totient is φ = 11903898240.

The previous prime is 34031141233. The next prime is 34031141321. The reversal of 34031141300 is 314113043.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 268109 + ... + 374091.

It is an arithmetic number, because the mean of its divisors is an integer number (779394560).

Almost surely, 234031141300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34031141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42087306240).

34031141300 is an abundant number, since it is smaller than the sum of its proper divisors (50143471180).

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

34031141300 is a wasteful number, since it uses less digits than its factorization.

34031141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106042 (or 106022 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34031141300 its reverse (314113043), we get a palindrome (34345254343).

The spelling of 34031141300 in words is "thirty-four billion, thirty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 169 190 247 260 325 338 380 475 494 650 676 845 950 988 1235 1300 1690 1900 2470 3211 3380 4225 4940 6175 6422 8450 12350 12844 16055 16900 24700 32110 64220 80275 105983 160550 211966 321100 423932 529915 1059830 1377779 2013677 2119660 2649575 2755558 4027354 5299150 5511116 6888895 8054708 10068385 10598300 13777790 17911127 20136770 26177801 27555580 34444475 35822254 40273540 50341925 52355602 68888950 71644508 89555635 100683850 104711204 130889005 137777900 179111270 201367700 261778010 340311413 358222540 447778175 523556020 654445025 680622826 895556350 1308890050 1361245652 1701557065 1791112700 2617780100 3403114130 6806228260 8507785325 17015570650 34031141300