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10030032300 = 223521717910987
BaseRepresentation
bin10010101011101011…
…00010010110101100
3221220000021102200210
421111311202112230
5131020142013200
64335134222420
7503360603451
oct112565422654
927800242623
1010030032300
1142877677a2
121b3b054a10
13c3aca4072
146b213d828
153da841650
hex255d625ac

10030032300 has 144 divisors (see below), whose sum is σ = 30901772160. Its totient is φ = 2503050240.

The previous prime is 10030032293. The next prime is 10030032323. The reversal of 10030032300 is 323003001.

It is a happy number.

10030032300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 907407 + ... + 918393.

It is an arithmetic number, because the mean of its divisors is an integer number (214595640).

Almost surely, 210030032300 is an apocalyptic number.

10030032300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450886080).

10030032300 is an abundant number, since it is smaller than the sum of its proper divisors (20871739860).

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

10030032300 is a wasteful number, since it uses less digits than its factorization.

10030032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10030032300 its reverse (323003001), we get a palindrome (10353035301).

The spelling of 10030032300 in words is "ten billion, thirty million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 179 204 255 300 340 358 425 510 537 716 850 895 1020 1074 1275 1700 1790 2148 2550 2685 3043 3580 4475 5100 5370 6086 8950 9129 10740 10987 12172 13425 15215 17900 18258 21974 26850 30430 32961 36516 43948 45645 53700 54935 60860 65922 76075 91290 109870 131844 152150 164805 182580 186779 219740 228225 274675 304300 329610 373558 456450 549350 560337 659220 747116 824025 912900 933895 1098700 1120674 1648050 1867790 1966673 2241348 2801685 3296100 3735580 3933346 4669475 5603370 5900019 7866692 9338950 9833365 11206740 11800038 14008425 18677900 19666730 23600076 28016850 29500095 33433441 39333460 49166825 56033700 59000190 66866882 98333650 100300323 118000380 133733764 147500475 167167205 196667300 200600646 295000950 334334410 401201292 501501615 590001900 668668820 835836025 1003003230 1671672050 2006006460 2507508075 3343344100 5015016150 10030032300