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10304000322 = 23711172357041
BaseRepresentation
bin10011001100010101…
…01001000101000010
3222121002210110011120
421212022221011002
5132100311002242
64422242253110
7513225362160
oct114612510502
928532713146
1010304000322
114408380a50
121bb6957196
13c82989015
146da698230
1540490c1ec
hex2662a9142

10304000322 has 128 divisors (see below), whose sum is σ = 28387749888. Its totient is φ = 2409369600.

The previous prime is 10304000293. The next prime is 10304000359. The reversal of 10304000322 is 22300040301.

It is a super-2 number, since 2×103040003222 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152122 + ... + 209162.

It is an arithmetic number, because the mean of its divisors is an integer number (221779296).

Almost surely, 210304000322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193874944).

10304000322 is an abundant number, since it is smaller than the sum of its proper divisors (18083749566).

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

10304000322 is a wasteful number, since it uses less digits than its factorization.

10304000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57104.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10304000322 its reverse (22300040301), we get a palindrome (32604040623).

The spelling of 10304000322 in words is "ten billion, three hundred four million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 17 21 22 23 33 34 42 46 51 66 69 77 102 119 138 154 161 187 231 238 253 322 357 374 391 462 483 506 561 714 759 782 966 1122 1173 1309 1518 1771 2346 2618 2737 3542 3927 4301 5313 5474 7854 8211 8602 10626 12903 16422 25806 30107 57041 60214 90321 114082 171123 180642 342246 399287 627451 798574 969697 1197861 1254902 1311943 1882353 1939394 2395722 2623886 2909091 3764706 3935829 4392157 5818182 6787879 7871658 8784314 9183601 10666667 13176471 13575758 14431373 18367202 20363637 21333334 22303031 26352942 27550803 28862746 32000001 40727274 43294119 44606062 55101606 64000002 66909093 74666669 86588238 101019611 133818186 149333338 156121217 202039222 224000007 245333341 303058833 312242434 448000014 468363651 490666682 606117666 736000023 936727302 1472000046 1717333387 3434666774 5152000161 10304000322