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10303000110 = 23251317517999
BaseRepresentation
bin10011001100001101…
…10100111000101110
3222121000220122010200
421212012310320232
5132100032000420
64422205014330
7513214025124
oct114606647056
928530818120
1010303000110
114407858527
121bb65543a6
13c826c8990
146da4b7914
154047b0b90
hex2661b4e2e

10303000110 has 96 divisors (see below), whose sum is σ = 30545424000. Its totient is φ = 2386934784.

The previous prime is 10303000109. The next prime is 10303000129. The reversal of 10303000110 is 1100030301.

10303000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103030001102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10303000092 and 10303000101.

It is a congruent number.

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, 239110 + ... + 278889.

It is an arithmetic number, because the mean of its divisors is an integer number (318181500).

Almost surely, 210303000110 is an apocalyptic number.

10303000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10303000110 is an abundant number, since it is smaller than the sum of its proper divisors (20242423890).

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

10303000110 is a wasteful number, since it uses less digits than its factorization.

10303000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518042 (or 518039 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10303000110 its reverse (1100030301), we get a palindrome (11403030411).

The spelling of 10303000110 in words is "ten billion, three hundred three million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 517999 1035998 1553997 2589995 3107994 4661991 5179990 6733987 7769985 8805983 9323982 13467974 15539970 17611966 20201961 23309955 26417949 33669935 40403922 44029915 46619910 52835898 60605883 67339870 79253847 88059830 101009805 114477779 121211766 132089745 158507694 202019610 228955558 264179490 303029415 343433337 396269235 572388895 606058830 686866674 792538470 1030300011 1144777790 1717166685 2060600022 3434333370 5151500055 10303000110