Search a number
-
+
3321200220210 = 2325192157651097
BaseRepresentation
bin110000010101000110111…
…101011001100000110010
3102202111121011011002001100
4300111012331121200302
5413403304224021320
611021423250545230
7461643303036555
oct60250675314062
912674534132040
103321200220210
111070570a39224
12457807298216
131b12598a6bc2
14b6a658aa69c
155b5d31ee790
hex30546f59832

3321200220210 has 144 divisors (see below), whose sum is σ = 9171582592536. Its totient is φ = 833694571008.

The previous prime is 3321200220157. The next prime is 3321200220211. The reversal of 3321200220210 is 120220021233.

3321200220210 is a `hidden beast` number, since 3 + 32 + 1 + 200 + 220 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2290745817441 + 1030454402769 = 1513521^2 + 1015113^2 .

It is a super-2 number, since 2×33212002202102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3321200220211) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4775382 + ... + 5426478.

Almost surely, 23321200220210 is an apocalyptic number.

3321200220210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321200220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585791296268).

3321200220210 is an abundant number, since it is smaller than the sum of its proper divisors (5850382372326).

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

3321200220210 is a wasteful number, since it uses less digits than its factorization.

3321200220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651305 (or 651283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3321200220210 its reverse (120220021233), we get a palindrome (3441420241443).

The spelling of 3321200220210 in words is "three trillion, three hundred twenty-one billion, two hundred million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 157 171 190 285 314 342 361 471 570 722 785 855 942 1083 1413 1570 1710 1805 2166 2355 2826 2983 3249 3610 4710 5415 5966 6498 7065 8949 10830 14130 14915 16245 17898 26847 29830 32490 44745 53694 56677 89490 113354 134235 170031 268470 283385 340062 510093 566770 651097 850155 1020186 1302194 1700310 1953291 2550465 3255485 3906582 5100930 5859873 6510970 9766455 11719746 12370843 19532910 24741686 29299365 37112529 58598730 61854215 74225058 102222229 111337587 123708430 185562645 204444458 222675174 235046017 306666687 371125290 470092034 511111145 556687935 613333374 705138051 920000061 1022222290 1113375870 1175230085 1410276102 1533333435 1840000122 1942222351 2115414153 2350460170 3066666870 3525690255 3884444702 4230828306 4600000305 5826667053 7051380510 9200000610 9711111755 10577070765 11653334106 17480001159 19422223510 21154141530 29133335265 34960002318 36902224669 58266670530 73804449338 87400005795 110706674007 174800011590 184511123345 221413348014 332120022021 369022246690 553533370035 664240044042 1107066740070 1660600110105 3321200220210