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30032311011300 = 223252132566864189
BaseRepresentation
bin1101101010000011100010…
…01110101100011111100100
310221100001122101120012101100
412311001301032230133210
512414022133104330200
6143512353032200100
76216522443430303
oct665016116543744
9127301571505340
1030032311011300
1196296a4697084
123450568239030
13139b05b533450
1475b8006cc43a
1537132174bd00
hex1b50713ac7e4

30032311011300 has 108 divisors (see below), whose sum is σ = 101375734319860. Its totient is φ = 7392568861440.

The previous prime is 30032311011289. The next prime is 30032311011317. The reversal of 30032311011300 is 311011323003.

It is a happy number.

30032311011300 is a `hidden beast` number, since 30 + 0 + 3 + 231 + 101 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2635628865444 + 27396682145856 = 1623462^2 + 5234184^2 .

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1283420395 + ... + 1283443794.

Almost surely, 230032311011300 is an apocalyptic number.

30032311011300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30032311011300 is an abundant number, since it is smaller than the sum of its proper divisors (71343423308560).

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

30032311011300 is a wasteful number, since it uses less digits than its factorization.

30032311011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566864222 (or 2566864212 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30032311011300 its reverse (311011323003), we get a palindrome (30343322334303).

The spelling of 30032311011300 in words is "thirty trillion, thirty-two billion, three hundred eleven million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 2566864189 5133728378 7700592567 10267456756 12834320945 15401185134 23101777701 25668641890 30802370268 33369234457 38502962835 46203555402 51337283780 64171604725 66738468914 77005925670 92407110804 100107703371 115508888505 128343209450 133476937828 154011851340 166846172285 192514814175 200215406742 231017777010 256686418900 300323110113 333692344570 385029628350 400430813484 462035554020 500538516855 577544442525 600646220226 667384689140 770059256700 834230861425 1001077033710 1155088885050 1201292440452 1501615550565 1668461722850 2002154067420 2310177770100 2502692584275 3003231101130 3336923445700 5005385168550 6006462202260 7508077752825 10010770337100 15016155505650 30032311011300