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3200130320 = 2451710721991
BaseRepresentation
bin1011111010111110…
…0001110100010000
322021000121110112012
42332233201310100
523023213132240
61245313522052
7142205442002
oct27657416420
98230543465
103200130320
1113a2432302
12753873328
133bccb5c4a
14225020372
1513ae26b65
hexbebe1d10

3200130320 has 80 divisors (see below), whose sum is σ = 7951955328. Its totient is φ = 1193441280.

The previous prime is 3200130287. The next prime is 3200130361. The reversal of 3200130320 is 230310023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3200130295 and 3200130304.

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 15 ways as a sum of consecutive naturals, for example, 134525 + ... + 156515.

Almost surely, 23200130320 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 3200130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975977664).

3200130320 is an abundant number, since it is smaller than the sum of its proper divisors (4751825008).

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

3200130320 is a wasteful number, since it uses less digits than its factorization.

3200130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3200130320 is about 56569.6943601430. The cubic root of 3200130320 is about 1473.6326034756.

Adding to 3200130320 its reverse (230310023), we get a palindrome (3430440343).

The spelling of 3200130320 in words is "three billion, two hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 340 428 535 680 856 1070 1360 1712 1819 2140 3638 4280 7276 8560 9095 14552 18190 21991 29104 36380 43982 72760 87964 109955 145520 175928 219910 351856 373847 439820 747694 879640 1495388 1759280 1869235 2353037 2990776 3738470 4706074 5981552 7476940 9412148 11765185 14953880 18824296 23530370 29907760 37648592 40001629 47060740 80003258 94121480 160006516 188242960 200008145 320013032 400016290 640026064 800032580 1600065160 3200130320