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10300320300 = 22352593591621
BaseRepresentation
bin10011001011111001…
…00110101000101100
3222120211212111010110
421211330212220230
5132043340222200
64422031340020
7513152164224
oct114574465054
928524774113
1010300320300
114406298106
121bb5681610
13c81c9acaa
146d9dbb084
15404431b50
hex265f26a2c

10300320300 has 144 divisors (see below), whose sum is σ = 30410553600. Its totient is φ = 2691014400.

The previous prime is 10300320211. The next prime is 10300320323. The reversal of 10300320300 is 302300301.

It is a happy number.

10300320300 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, 6353490 + ... + 6355110.

It is an arithmetic number, because the mean of its divisors is an integer number (211184400).

Almost surely, 210300320300 is an apocalyptic number.

10300320300 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 10300320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205276800).

10300320300 is an abundant number, since it is smaller than the sum of its proper divisors (20110233300).

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

10300320300 is a wasteful number, since it uses less digits than its factorization.

10300320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2049 counting only the distinct ones).

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

Adding to 10300320300 its reverse (302300301), we get a palindrome (10602620601).

The spelling of 10300320300 in words is "ten billion, three hundred million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 359 590 708 718 885 1077 1180 1436 1475 1621 1770 1795 2154 2950 3242 3540 3590 4308 4425 4863 5385 5900 6484 7180 8105 8850 8975 9726 10770 16210 17700 17950 19452 21181 21540 24315 26925 32420 35900 40525 42362 48630 53850 63543 81050 84724 95639 97260 105905 107700 121575 127086 162100 191278 211810 243150 254172 286917 317715 382556 423620 478195 486300 529525 573834 581939 635430 956390 1059050 1147668 1163878 1270860 1434585 1588575 1745817 1912780 2118100 2327756 2390975 2869170 2909695 3177150 3491634 4781950 5738340 5819390 6354300 6983268 7172925 8729085 9563900 11638780 14345850 14548475 17458170 28691700 29096950 34334401 34916340 43645425 58193900 68668802 87290850 103003203 137337604 171672005 174581700 206006406 343344010 412012812 515016015 686688020 858360025 1030032030 1716720050 2060064060 2575080075 3433440100 5150160150 10300320300