Search a number
-
+
3200103312 = 243767142151
BaseRepresentation
bin1011111010111101…
…1011001110010000
322021000120002110220
42332233123032100
523023211301222
61245313153040
7142205300160
oct27657331620
98230502426
103200103312
1113a2413a8a
1275385b780
133bcca6873
142250145a0
1513ae1db5c
hexbebdb390

3200103312 has 80 divisors (see below), whose sum is σ = 9589005312. Its totient is φ = 900662400.

The previous prime is 3200103299. The next prime is 3200103331. The reversal of 3200103312 is 2133010023.

It is a super-2 number, since 2×32001033122 = 20481322414946738688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3200103291 and 3200103300.

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 15 ways as a sum of consecutive naturals, for example, 48564 + ... + 93587.

Almost surely, 23200103312 is an apocalyptic number.

It is an amenable number.

3200103312 is an abundant number, since it is smaller than the sum of its proper divisors (6388902000).

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

3200103312 is a wasteful number, since it uses less digits than its factorization.

3200103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142236 (or 142230 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3200103312 is about 56569.4556452508. The cubic root of 3200103312 is about 1473.6284578131.

Adding to 3200103312 its reverse (2133010023), we get a palindrome (5333113335).

The spelling of 3200103312 in words is "three billion, two hundred million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22512 142151 284302 426453 568604 852906 995057 1137208 1705812 1990114 2274416 2985171 3411624 3980228 5970342 6823248 7960456 9524117 11940684 15920912 19048234 23881368 28572351 38096468 47762736 57144702 66668819 76192936 114289404 133337638 152385872 200006457 228578808 266675276 400012914 457157616 533350552 800025828 1066701104 1600051656 3200103312